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Newest Derivatives Questions

1. if dx/dt=5 and dy/dt=sin(t^2). then d^2y/dx^2 is
   1. 3 answers
   2. asked by suma sunga
   3. 77 views
2. Suppose that f is a continuous function that is differentiable everywhere. The graph of the derivative of f crosses the x-axis
   1. 5 answers
   2. 121 views
3. Find dx/dt when x=1, y=0 and dy/dt=2 for the following equationsy= sqroot(x-1) x = cos y
   1. 1 answer
   2. asked by lizzy
   3. 322 views
4. Suppose that f(π4)=−4 and f′(π4)=7, and let g(x)=f(x)sinx and h(x)=cosxf(x). Answer the following questions.1. Find
   1. 1 answer
   2. asked by cm
   3. 532 views
5. If the instantaneous rate of change of f(x) at (4, −5) is 7, write the equation of the line tangent to the graph of f(x) at x
   1. 1 answer
   2. asked by jacob
   3. 482 views
6. Find the slope of the tangent line to the curve of intersection of thesurface 36𝑥² − 9𝑦² + 4𝑧² + 36 = 0 with the
   1. 1 answer
   2. asked by Kristian Lou
   3. 868 views
7. Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0.A. Does f have an inflection
   1. 2 answers
   2. asked by maeil
   3. 1,036 views
8. Suppose that f(t) is a function for which f(10)=6.5 and f′(10)=4. Use this information to estimate the following. Round your
   1. 1 answer
   2. asked by ANonymous
   3. 360 views
9. Estimate f′(6) where f(x)=x^3+4x^2+4x−18 to within one decimal place by using a small enough interval.f′(6)≈
   1. 1 answer
   2. asked by Anonymous
   3. 374 views
10. Any help with these 3 calc questions will be appreciated!The link to the chart is below: media. cheggcdn.com /media/a86/
    1. 2 answers
    2. asked by Kentyn Kai
    3. 849 views
11. Calculate the slope of the tangent to the given function at the given point.a) f(x) = 2/ sqrt(x+5), p(4, 2/3) b) f(x)= 3/(x+1),
    1. 3 answers
    2. asked by julion
    3. 730 views
12. Find d^5/dx^5 g(x) for g(x)=sinx+5x^4A. cos x B. sin x + 120 C. -cos x +20x^3 D. -cos x + 120 x E. sin x
    1. 2 answers
    2. asked by Stephanie
    3. 1,594 views
13. The slope of the tangent line to a curve is given by f'(x)=4x^2 + 7x -9. If the point ​(0,6​) is on the​ curve, find an
    1. 2 answers
    2. asked by Abby
    3. 2,044 views
14. using mean value theoremjustify y=e^x over [0,1]
    1. 1 answer
    2. asked by Anonymous
    3. 544 views
15. Suppose f '' is continuous on (−∞, ∞).(a) If f '(1) = 0 and f ''(1) = −1, what can you say about f ? 1)At x = 1, f has a
    1. 1 answer
    2. asked by Parker
    3. 2,970 views
16. A) The point p(3,1) lies on the curve y= square root x-2. If Q is the point (x, square root x-2) use your calculator to find the
    1. 1 answer
    2. asked by Alyssa
    3. 2,459 views
17. 1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must
    1. 2 answers
    2. asked by Justin
    3. 5,843 views
18. I also have these other four question I need help on please!!1. The graph of y = f ′(x), the derivative of f(x), is shown
    1. 4 answers
    2. asked by Justin
    3. 1,443 views
19. The function f is continuous on the interval [3, 13] with selected values of x and f(x) given in the table below. Use the data
    1. 1 answer
    2. asked by Justin
    3. 1,577 views
20. (Re-posting because I think the first one got lost in all the questions)This isn't a test or assignment, it's a review for
    1. 1 answer
    2. asked by Rose
    3. 2,419 views
21. A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3xa. on what interval is f increasing? b. at
    1. 1 answer
    2. asked by Mattia
    3. 4,750 views
22. Suppose that f(x)=x−7x^[1/7](A) Find all critical values of f. (B) Use interval notation to indicate where f(x) is increasing
    1. 1 answer
    2. asked by Kris
    3. 2,169 views
23. Suppose that it is given to you thatf′(x)=(x+3)(8−x)(x−15) The first inflection point (from the left) for f(x) occurs at
    1. 3 answers
    2. asked by Mark
    3. 535 views
24. Consider the parabola y = 6x − x2.(a) Find the slope of the tangent line to the parabola at the point (1, 5). 4 (b) Find an
    1. 2 answers
    2. asked by Yuxiang Nie
    3. 3,051 views
25. Given f'(x)=(2-x)(6-x), determine the intervals on which f(x) is increasing or decreasingOptions: 1) Decreasing (-∞,2);
    1. 2 answers
    2. asked by Karen
    3. 3,588 views
26. Use the instantaneous rate of change of f(x) = e^(5x) to find the equation of the tangent line to f(x) at x = 0.
    1. 1 answer
    2. asked by berk
    3. 818 views
27. 1. What is the equation of the line tangent to the function f(x)=-x^2+5 at the point (1,4)?a. y=-x+5 b. y=-x+9 c. y=-2x+6 d.
    1. 1 answer
    2. asked by girly girl
    3. 516 views
28. Suppose thatf(5) = 3, f '(5) = 4, g(5) = −6, and g'(5) = 1. Find the following values. (a) (fg)'(5) (b) (f/g)'(5) (c)
    1. 0 answers
    2. asked by Anonymous
    3. 673 views
29. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f ′(x). What is the
    1. 2 answers
    2. asked by Anon
    3. 12,569 views
30. f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(5x)]. The table below gives selected values for f(x),
    1. 1 answer
    2. asked by Rich boi
    3. 1,285 views
31. Let f'''(t) = 5 t + 10 \sqrt{t}.(a) Find the most general formula for f''(t). If an arbitrary constant must be used here, use an
    1. 1 answer
    2. asked by clevertuba
    3. 1,045 views
32. Consider the function f(x) = 1/x on the interval [ 4 , 11 ].(A) Find the average or mean slope of the function on this interval.
    1. 1 answer
    2. asked by sze
    3. 783 views
33. The function’s value will always be greater than or equal to the local linear approximation of a function f if, for all x in
    1. 1 answer
    2. asked by Sarah
    3. 1,338 views
34. Given f"(x)=5x+2 and f'(-3)=3 and f(-3)=-6find f'(x)= find f(3)=
    1. 2 answers
    2. asked by Anonymous
    3. 392 views
35. f'(x)=sqrt(x)*sin(x)The first derivative of the function f is given above. If f(0)=0, at which value of x does the function f
    1. 2 answers
    2. asked by Mike
    3. 899 views
36. f(x)=−x3 −x2 +16x+161. Calculate f′(x). 2. Calculate f′′(x). 3. Find the x values such that f(x) = 0. Note: this can
    1. 1 answer
    2. asked by R
    3. 601 views
37. In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2.x^2 + y2^2= 25
    1. 1 answer
    2. asked by Ravi Shankar
    3. 491 views
38. Suppose f′′(x)=−36sin(6x) andf′(0)=−5, and f(0)=−3 f(π/3)=?
    1. 1 answer
    2. asked by angie
    3. 2,343 views
39. Consider the function g(x) = sinxcosx.a. Find an equation of the tangent line to the graph of g at (pi/3, sqrt3/4). b. Find the
    1. 1 answer
    2. asked by Anonymous
    3. 1,561 views
40. Assume that x and y are both differentiable functions of t and the required values of dy/dt and dx/dtxy=6 a) Find dy/dt, given
    1. 3 answers
    2. asked by Ray
    3. 2,016 views
41. A point is moving along the graph of y = 11(1+x2) so that dx/dt = 2 centimeters per minute. Find dy/dt for the following values
    1. 1 answer
    2. asked by Brian
    3. 382 views
42. Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -4, find
    1. 2 answers
    2. asked by Anonymous
    3. 888 views
43. Find an equation for the tangent line to the curve at (π/2 , 2).y = 4 + cot(x) - 2csc(x) I am confused how to take the
    1. 2 answers
    2. asked by Dave
    3. 776 views
44. Find an equation of the tangent line to the graph of f at the given point.f(x) = x + (4/x), (4,5) I tried using the limit
    1. 1 answer
    2. asked by Tyler
    3. 646 views
45. use the derivative of f(x)=2x^3 + 6x to determine any points on the graph of f(x) at which the tangent line is horizontala.
    1. 1 answer
    2. asked by anonymous
    3. 519 views
46. A particle moves along the curve y=lnx so that its abscissa is increasing at a rate of 2 units per second. At what rate is the
    1. 1 answer
    2. asked by Alexa
    3. 2,139 views
47. Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0.A. Does f have an inflection
    1. 2 answers
    2. asked by Anonymous
    3. 3,491 views
48. Find the absolute maximum and absolute minimum values of f on the given interval.f(x) = 17 + 4x − x^2, [0, 5] I got -13 and
    1. 1 answer
    2. asked by Callie
    3. 1,123 views
49. Directions: Find the fourth-order derivative.1.) f''(x)=7x^5/2, f(^iv)(x) 2.) f''(x)=8x^7/5, f(^iv)(x)
    1. 1 answer
    2. asked by Lena
    3. 381 views
50. The velocity of a ball that has been tossed vertically in the air is given by v(t) = 16 − 32t, where v is measured in feet per
    1. 2 answers
    2. asked by George
    3. 970 views
51. The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an
    1. 3 answers
    2. asked by Tom
    3. 1,606 views
52. The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an
    1. 1 answer
    2. asked by Tom
    3. 1,165 views
53. Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g isg′(x)=(x^2–16)/(x−2),
    1. 5 answers
    2. asked by Gary
    3. 7,842 views
54. Suppose the derivative of a function f isf '(x) = (x + 2)^4(x − 3)^7(x − 4)^6. On what interval is f increasing? (Enter your
    1. 1 answer
    2. asked by samantha
    3. 3,560 views
55. A particle moves along the curve below.y = sqrt(8 + x^3) As it reaches the point (2, 4), the y-coordinate is increasing at a
    1. 1 answer
    2. asked by kirsten
    3. 3,252 views
56. 1. is the derivative of the function f(x)=5e^(4x-9z) f'(x)= -25e^(4x-9z)?2. Is the derivative of the function
    1. 3 answers
    2. asked by Sara
    3. 772 views
57. The demand function for the Sicard wristwatch is given by the following function where d(x) (measured in units of a thousand) is
    1. 0 answers
    2. asked by dee
    3. 1,125 views
58. What is the instantaneous slope of y =8/x at x = -3?What is the average rate of change of y with respect to x over the interval
    1. 3 answers
    2. asked by Jack P
    3. 2,727 views
59. 5. Find the equation of the tangent line to the graph of f(a) = -sec(a) at the point (0, -1)6. Differentiate y = sin(x)tan(x).
    1. 0 answers
    2. asked by gerald
    3. 951 views
60. 1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?2. Find the
    1. 1 answer
    2. asked by mock
    3. 2,248 views
61. Find an equation of the tangent line to the graph of f(x)=xsinx when x=0.A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of
    1. 1 answer
    2. asked by Anonymous
    3. 482 views
62. Find f(x) satisfying the given conditions:1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0
    1. 1 answer
    2. asked by Anonymous
    3. 536 views
63. 1. A particle moves along the x-axis, it's position at timer given by x(t)=t/(1+t^2), t greater than or equal to 0,where t is
    1. 2 answers
    2. asked by Anonymous
    3. 2,723 views
64. The _____________ of a function is a formula for the slope of the tangent line to that function at any point x.When the function
    1. 2 answers
    2. asked by StevE
    3. 722 views
65. A particle is moving along the curve y= 2 \sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate
    1. 2 answers
    2. asked by Alessandra
    3. 929 views
66. We now haved dx [x5 + y8] = 5x4 + 8y7y' = d dx [9] = 0. Rearranging this, we get 8y7y' = ??????????
    1. 1 answer
    2. asked by Anonymous
    3. 2,882 views
67. Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the
    1. 1 answer
    2. asked by Karen
    3. 4,165 views
68. Let H(x)=F(G(x)) and J(x)=F(x)/G(x).Suppose F(7)=4, F′(7)=−8 G(7)=3, G′(7)=−5 G(2)=7, G′(2)=−2 then H′(2)=
    1. 2 answers
    2. asked by Anonymous
    3. 888 views
69. 1. Determine the slope of the tangent to the graph of y=4/x at (1,4)my answer is -4 2.What is the slope of the line
    1. 1 answer
    2. asked by Kim
    3. 1,167 views
70. for f(x)= ln(x-3) on the interval [5,9], find c so that f'(c)= (f(b)-f(a))/(b-a)
    1. 1 answer
    2. asked by Layla
    3. 386 views
71. assume that x=x(t) and y=y(t). Let y= (x^3)+4 and dx/dt=5 when x=2. dy/dt when x=2
    1. 1 answer
    2. asked by Nina
    3. 332 views
72. Find f '(a).f(x)= sqrt(1 − 6x)
    1. 0 answers
    2. asked by Leigh
    3. 571 views
73. I feel pretty good on my answers. Are there any I got wrong? Thank you for the help!1. If g(x) = tan (5x^2), then g′(x) = *
    1. 1 answer
    2. asked by Samantha
    3. 1,173 views
74. Determine the derivative at the point (2,−43) on the curve given by f(x)=7−7x−9x^2.I know that the answer is -43, but I
    1. 3 answers
    2. asked by Ann
    3. 458 views
75. Let A(t) be the (changing) area of a circle with radius r(t), in feet, at any time t in min.If the radius is changing at the
    1. 1 answer
    2. asked by Kelly
    3. 914 views
76. if s''(t)=((-)1/4t^3/2) +8Then what is s''(16)?
    1. 1 answer
    2. asked by Kyle
    3. 295 views
77. Consider the curve given by y^2 = 2+xy(a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line
    1. 2 answers
    2. asked by Mathew
    3. 5,962 views
78. If f(2)=1 and f(2+h)=(h+1)3, compute f′(2).If f(−1)=5 and f(−0.9)=5.2, estimate f′(−1). If the line y=−3x+2 is
    1. 2 answers
    2. asked by Phy
    3. 511 views
79. Find the slope and the equation of the tangent line to the graph of the function f at the specified point.f(x) = -8/5 x^2 + 7 x
    1. 0 answers
    2. asked by Mike
    3. 566 views
80. If F(x)=x^3−7x+5, use the limit definition of the derivative to find F�Œ(5), then find an equation of the tangent line to
    1. 1 answer
    2. asked by Rachael
    3. 835 views
81. Can someone help me answer this?Determine F ' (x) and F ' (1) if F(x) = integral sign lower limit = 4, upper limit = x 4t^10 (2
    1. 1 answer
    2. asked by mark
    3. 446 views
82. Evaluate each of the following. Show all your calculations.a) f'(���3)� if f(x) ���� = x^4�� − 3x� b) f' ���(−2)� if ���f(x)
    1. 1 answer
    2. asked by Alexandra
    3. 485 views
83. Evaluate each of the following. Show all your calculations.a) f'(���3)� if f(x) ���� = x^4�� − 3x� b) f' ���(−2)� if ���f(x)
    1. 1 answer
    2. asked by Alexandra
    3. 535 views
84. Evaluate each of the following. Show all your calculations.a) f'(���3)� if f(x) ���� = x^4�� − 3x� b) f' ���(−2)� if ���f(x)
    1. 0 answers
    2. asked by mandy
    3. 444 views
85. Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent
    1. 3 answers
    2. asked by Kimberly
    3. 3,441 views
86. Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent
    1. 1 answer
    2. asked by Jacob
    3. 684 views
87. Suppose that function f:[0,2]->R is continuous at [0,2], differentiable at (0,2) and such that f(0)=0, f(1)=1 and f(2)=1.a) Show
    1. 1 answer
    2. asked by Zisis
    3. 509 views
88. Let f be a real value function and x Î Dfthen 0 lim ( ) ( ) h f x h f x ® h + - when it exists is called A) The derivative of
    1. 1 answer
    2. asked by Zaheer
    3. 905 views
89. Find the dervatives:1. f(x)=(3x+1)e^x^2 2. y = e^(sin x) ln(x) 3. f(x)=(x^(2)+x)^23 4. f(x)=sin(2x)/cosx 5. square root of
    1. 2 answers
    2. asked by Anonymous
    3. 695 views
90. The slope of the tangent line to the curve y= 3x^3 at the point (-1,-3) is:?The equation of this tangent line can be written in
    1. 1 answer
    2. asked by J
    3. 2,505 views
91. Find an equation of the tangent line to the curve at the given point.y= (1+3x)^12 , (0,1) and find y' and y" y=cos(x^2) I got y'
    1. 3 answers
    2. asked by michelle
    3. 1,324 views
92. Suppose f'(x) = xe^-x^2.a) On what interval is f increasing? On what interval is f decreasing? b) Does f have a maximum value?
    1. 1 answer
    2. asked by Travis
    3. 3,653 views
93. find the second derivative of F(x)=3e^-2x(^2) to find the inflection points. I am trying but I don't think I'm finding the first
    1. 2 answers
    2. asked by casidhe
    3. 594 views
94. A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3xa. on what interval is f increasing? b. at
    1. 1 answer
    2. asked by Anonymous
    3. 1,029 views
95. 1.a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at
    1. 0 answers
    2. asked by Tired
    3. 1,221 views
96. 1.a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at
    1. 1 answer
    2. asked by Tired
    3. 1,401 views
97. Consider the curve -8x^2+5xy+y^3=-1491. Find Dy/dx 2. write an equation for the line tangent to the curve at the point (4,-1)
    1. 1 answer
    2. asked by Matt
    3. 865 views
98. Estimate the instanteous rate of change f(x) = x/(x+5) at (-3, -3/2)Could someone explain this question to me, this isn't
    1. 4 answers
    2. asked by Casey
    3. 563 views
99. Suppose the functiona) Use the definition of the derivative to show that f ' (-2) = -1. b) Write an equation for the line
    1. 0 answers
    2. asked by Eliza
    3. 495 views
100. If f (3) = 9 and f ´(3) = 4, find the tangent line to the graph of f when x = 3.
     1. 1 answer
     2. asked by TIFFANY
     3. 397 views