Ask a new Differentiation question. Multiple AIs will answer your question.

Newest Differentiation Questions

Assume x and y are functions of t. Evaluate dy/dt for 2xy-2x+6y^3=-30, with the conditions dx/dt=-18, x=6, y=-1
1. 1 answer
2. 163 views
derive x2ln(3x^2+5x)product rule
1. 1 answer
2. 127 views
power rulelog3xp
1. 1 answer
2. 149 views
a. Find the critical points of f(x)=x^16e^-x b. Use the First Derivative Test to locate the local maximum and minimum values. c.
1. 1 answer
2. 205 views
Using the quotient rule find the first derivative of the function y=((3x+1)(cos2x))/e^2x
1. 1 answer
2. asked by Sinachi
3. 341 views
Find f'(x).f(x) = 3 ln x + ln x8 + 7ex
1. 1 answer
2. asked by Safa
3. 221 views
Use the chain rule, in Leibniz Notation, to find dy/dx at the indicated value of x.y = u^3 - 2(u - 3)^4, u = x + x^1/3, x = 1
1. 1 answer
2. asked by help me pls
3. 458 views
f(x) = x2 + 2x - 1Compute the derivative (that is, the derivative function) by evaluating the limit. Show your work. (Notice
1. 1 answer
2. asked by anonymous
3. 1,050 views
If f ( x ) = 4 x ( sin x + cos x ) , find f ' ( x ) .f'(x)= Evaluate the derivative at x = 3. Enter an approximation, rounded to
1. 2 answers
2. asked by Johnny
3. 851 views
Let f be the function shown below, with domain the closed interval [0, 6]. Let h(x) = integral from 0 to 2x-1 (f(t))dt.The graph
1. 4 answers
2. asked by bee
3. 1,777 views
Estimate f′(6) where f(x)=x3+4x2+4x−18 to within one decimal place by using a small enough interval.f′(6)≈
1. 1 answer
2. asked by Anonymous
3. 405 views
If d/dx(f(x))=g(x) and d/dx(g(x))=f(x^2) , then d^2/dx^2(f(x^3)), then d2dx2(f(x3))= A f(x^6) B g(x^3) C 3x^2g(x^3) D 9x^4f(x^6)
1. 3 answers
2. asked by ann
3. 4,340 views
Find dy/dx9. x^2 + y^2=2x 10. y^2= 3x+2y Last 2 questions for the night lol
1. 4 answers
2. asked by Jalen
3. 369 views
1) For the function 𝑦(𝑥) = 𝑥^3 − 3𝑥^2 − 9𝑥 + 5a) Find the critical points. b) Determine if the critical
1. 1 answer
2. asked by anonymous
3. 990 views
Use the second derivative test to find the relative extrema of f(x) = x3 − 12x.
1. 3 answers
2. asked by john
3. 1,394 views
Use the given information to find f '(4).f(x) = 5g(x) + h(x) g(4) = -4 and g'(4) = 6 h(4) = 1 and h'(4) = -5 f '(4) = ?
1. 0 answers
2. asked by Josh
3. 337 views
Show a graphical method of approximating the instantaneous rate of change at x = 3 for the function ƒ(x) = -x2 + 4x + 1 using
1. 2 answers
2. asked by Jackie
3. 1,090 views
Find dy/dx at the point (3,8) for 5xy^2/3-x^2y=-12A.2 B.17 C.-7 D.-28/3
1. 3 answers
2. asked by Anonymous
3. 661 views
1. Find dr/d θ for cosr-cot θ=e^-r θ2. Find the normal equation to the curve xy +2x-y=0 that are parallel to the line -4x -
1. 1 answer
2. asked by Kenzi
3. 1,137 views
Find F '(x) for F(x) = integral[x^3 to 1](cos(t^4)dt)a. cos(x^7) b. -cos(x^12) c. -3x^2cos(x^12) d. cos(1) - cos(x^12)
1. 1 answer
2. asked by Jimmy
3. 624 views
Consider the functionf(x) = 2 x^3 - 12 x^2 - 30 x+ 10 on the interval [ -6 , 8 ]. Find the average or mean slope of the function
1. 0 answers
2. asked by sze
3. 723 views
find d/dx (integral from 2 to x^4) tan(x^2) dxtan(x^4)^2*4x^3 MY ANSWER
1. 2 answers
2. asked by Ke$ha
3. 1,163 views
Show that if f(x) is continuous and u(x) and v(x) are differentiable functions, then:d/dx ∫_v(x)^u(x)
1. 1 answer
2. asked by Katy
3. 486 views
Quotient Rule:Use the limit definition of the derivative to prove that the quotient rule
1. 1 answer
2. asked by Bob
3. 1,384 views
A point moves along the curve y= x^3 -3x + 5 so that x= 1/2 square root t + 3 where t is the time. At what rate is y changing
1. 1 answer
2. asked by Elizabeth
3. 3,006 views
Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such
1. 1 answer
2. asked by Mike
3. 2,182 views
Use the function f to solve the following:a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of
1. 1 answer
2. asked by Alice
3. 784 views
Suppose h(x)= sqrt(f(x)) and the equation of the tangent line to f(x) at x=1 is y=4+5(x−1).Find h′(1).
1. 1 answer
2. asked by Kyle
3. 683 views
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x),
1. 5 answers
2. asked by Henry
3. 7,334 views
Consider the following function.f(x) = e^(x)/ x^(4) (a) Find the intervals of increase or decrease. (b) Find the intervals of
1. 1 answer
2. asked by Mathematics
3. 1,190 views
Use implicit differentiation to find the slope of the tangent line to the graph of 18*x^(1/2)+5y^(1/2)+14 at(81/324,1)
1. 1 answer
2. asked by beth
3. 596 views
The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x).A. Find all values of x in the
1. 1 answer
2. asked by Sarah
3. 1,884 views
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for
1. 1 answer
2. asked by Sarah
3. 2,331 views
The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an
1. 1 answer
2. asked by Gary
3. 1,404 views
If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c
1. 1 answer
2. asked by calc
3. 1,902 views
Find dy/dx for x2 + y2 = 2xy.2. If 5x2 + y4 = -9 then evaluate d^2y/dx^2 when x = 2 and y = 1. Round your answer to two decimal
1. 4 answers
2. asked by mock
3. 1,363 views
The twice–differentiable function f is defined for all real numbers and satisfies the following conditions:f(0)=3 f′(0)=5
1. 1 answer
2. asked by Steven
3. 4,755 views
Find f'(x) if f(x)=sin^3(4x)A. 4cos^3(4x) B. 3sin^2(4x)cos(4x) C. cos^3(4x) D. 12sin^2(4x)cos(4x) E. None of these I got D using
1. 1 answer
2. asked by Anonymous
3. 635 views
For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4a)find vertical and horizontal asymptotes.
1. 1 answer
2. asked by Sarah
3. 590 views
Use the given information to find f '(8).f(x) = 9g(x) + h(x) g(8) = 1 and g'(8) = 5 h(8) = 8 and h'(8) = -3 f'(8)=
1. 2 answers
2. asked by Lorine
3. 1,794 views
Find all values for c in the intercal (1,4) so that the slope of the tangent line at (c,f(c)) equals the slope of the secant
1. 2 answers
2. asked by Aria
3. 587 views
Differentiate with respect to (t).y = d cos(t) + (t^2)sin(t)
1. 1 answer
2. asked by Melish
3. 718 views
8. If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π:−0.754 −0.657 0 * 0.657 3.770 9. Given the
1. 2 answers
2. asked by Samantha
3. 1,304 views
Suppose f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = -1, g(1) = -2, and g '(1) = 3. Find
1. 0 answers
2. asked by Mike
3. 704 views
Find the equation of the line tangent toF(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the
1. 1 answer
2. asked by Tima
3. 1,612 views
use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point.x2y2 − 1= 0;(0.5,
1. 0 answers
2. asked by jimbob
3. 1,041 views
Let f(x)=3x^3 +7.5x +1. In this problem you will estimate f'(3) by computing the average rate of change of f(x)over a small
1. 0 answers
2. asked by Calculus
3. 860 views
Given the function y=(x^2-5/x+3), answer the following questions.a) Find dy/dx. Simplify your answer b) Find the coordinates of
1. 1 answer
2. asked by Rudy
3. 738 views
Derive the central difference approximation for f''(x) accurate to O(h^4)by applying Richardson extrapolation to the central
1. 0 answers
2. asked by ryan
3. 413 views
Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of
1. 1 answer
2. asked by Sissy
3. 568 views
Use the Chain Rule to find dw/dt.w = ln (x^2 + y^2 + z^2)^.5 , x = 9 sin t, y = 6 cos t, z = 7 tan t
1. 1 answer
2. asked by Becky
3. 5,542 views
differentiate each functiona) y = cos^3x b) y = sin(x^3) c) y = sin^2 xcos3x my answers: a) y' = 3cos^2 x(-sinx) b) y' =
1. 2 answers
2. asked by Henry
3. 1,031 views
find the coordinates of all points on the graph of f(x) = x + 2cos(x) in the interval [0, pie] at which the tangent line is
1. 0 answers
2. asked by Julie
3. 844 views
1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8 ≤ x ≤ 8.a. Find the coordinate of all points at which
1. 0 answers
2. asked by Yuri
3. 658 views
1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8 ≤ x ≤ 8.a. Find the coordinate of all points at which
1. 0 answers
2. asked by Yuri
3. 1,100 views
1. If f(x)=sin(x^2), Find f'(x) and f'(1)2. If d/dx(f(3x^3))=9x^2, Calculate f'(x). 3. Let f(x)=cos(6x+6), find f'(x) 4. Let
1. 1 answer
2. asked by stacy
3. 455 views
Consider a differentiable functionf having domain all positive real numbers, and for which it is known that f'(x)=(4-x)^-3 for
1. 3 answers
2. asked by bill
3. 1,084 views
find y' if sin^-1(xy)=cosy
1. 1 answer
2. asked by angie
3. 1,783 views
find f'(x) if f(x)=a^xis in undefined, xe, of e^x?
1. 0 answers
2. asked by johnanthan
3. 323 views
find f'(x) if f(x)=5e^x^2find f'(x) if f(x)=a^x
1. 4 answers
2. asked by johnanthan
3. 306 views
Let f be the function defined by f(x)=xe^(1-x) for all real numbers x.:a. Find each interval on which f is increasing. b. Find
1. 1 answer
2. asked by Anonymous
3. 3,117 views
find f''(x) if f(x)= 3(�ãx2-2x+1)
1. 3 answers
2. asked by Angie
3. 461 views
1. Given the curvea. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for
1. 3 answers
2. asked by Fareha
3. 4,807 views
Suppose f(pi/3) = 3 and f '(pi/3) = −7,and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find the following. a. g'(pi/3) b.
1. 2 answers
2. asked by Christina
3. 11,149 views
A particle is moving along the curve whose equation is (xy^3)/(1+y^2)= 8/5. Assume the x-coordinate is increasing at the rate of
1. 2 answers
2. asked by Jo
3. 2,229 views
Find the first derivative for the following functions1) f(x) = sin(cos^2x) cos(sin^3x) 2) f(x) = ( tan 2x - tan x ) / ( 1 + tan
1. 1 answer
2. asked by Yousef
3. 611 views
1) Find d^2y / dx^2 given that y^3 - x^2 = 42)If y = xª + ( 1 / xª ) , prove that x^2 . y'' + xy' – a^2 . y = 0 3) Find
1. 2 answers
2. asked by Yousef
3. 516 views
Assume that x>0 and y>0. If y=5sqrt{x+9} and dx/dt = 2, find dy/dt when x=7.
1. 1 answer
2. asked by Raj
3. 613 views
Consider the function y=x/(x+1)a) Find dy/dx b) Find the equation of the line tangent to the curve at x=-2 c) Find the equation
1. 1 answer
2. asked by Eric
3. 584 views
Use Leibniz's rule to find dy/dx.**Leibniz's rule: If g(x) and h(x) are differentiable functions and f(u) is continuous for u
1. 1 answer
2. asked by Shelby
3. 671 views
If f(x)=(3x)/(1+x2) find f′(4)______.Use this to find the equation of the tangent line to the curve y=(3x)/(1+x2) at the point
1. 1 answer
2. asked by Robin
3. 605 views
1.)dy/dx for 3x^7+5/x^3+3(7square roots of x^2)+sinx2.)d/dx sinx/6x^4 3.)d/dx sin(6x^4) 4.)d/dx sin^4(6x)
1. 1 answer
2. asked by tremaine
3. 393 views
use implicit differentiation to find the slope of the tangent line to the curve (y)/(x-7y)=x^6+5 at the point (1,6/43)
1. 3 answers
2. asked by lan
3. 778 views
A) If x^2+y^3−xy^2=5, find dy/dx in terms of x and y.dy/dx=________ B) Using your answer for dy/dx, fill in the following
1. 3 answers
2. asked by Catherine
3. 1,449 views
f(x)=6(sin(x))^x, find f'(1).and f(x)=3x^ln(x), find f'(9). i tried these so many times and it keeps telling me that my answers
1. 0 answers
2. asked by yoo
3. 481 views
Consider the curve given by the equation y^3+3x^2y+13=0a.find dy/dx b. Write an equation for the line tangent to the curve at
1. 1 answer
2. asked by Little
3. 5,702 views
state increasing, decreasing, max, minfor f(x)= x^(1/3) (x+4) Here is my work: f'(x)= 4/3x^(1/3) + 4/3x^(-2/3) 4/3x^(1/3) +
1. 6 answers
2. asked by Anonymous
3. 1,058 views
x and y are both variables that are differentiable with respect to t, but not to each other. however, there is a relationship
1. 4 answers
2. asked by Anonymous
3. 552 views
Find:(a) the interval(s) on which f is increasing, (b) the interval(s) on which f is decreasing, (c) the open interval(s) on
1. 2 answers
2. asked by Dan
3. 944 views
Find:(a) the interval(s) on which f is increasing, (b) the interval(s) on which f is decreasing, (c) the open interval(s) on
1. 0 answers
2. asked by Please Help
3. 1,124 views
Calculate f'(-1)f(x) = x^7 * h(x) h(-1) = 5 h'(-1) = 8 Answer is 27, but I got no idea how to get there.
1. 3 answers
2. asked by Ivan
3. 520 views
Find d2y/dx2 in terms of x and y.y5 = x6
1. 1 answer
2. asked by Matt
3. 2,704 views
Find f'(a).f(x)= (x^2 + 1)/(x - 2) So, [[(a + h)^2 + 1]/[(a + h) - 2]] - [(a^2 + 1)/a - 2] and the whole thing divided by h I
1. 1 answer
2. asked by CMM
3. 442 views
Find those values of x at which the tangent line is horizontal to the curvey=xsqrt2-2cosx
1. 3 answers
2. asked by Eileen
3. 581 views
f(x) = 4e^-1x +13x +5 at (0,9)1. All steps for finding the first derivative of the function are clearly and accurately shown. 2.
1. 1 answer
2. asked by sarah
3. 1,348 views
Determine whether f '(0) exists.f(x) = {xsin(10/x) if x can not = 0 0 if x=0
1. 2 answers
2. asked by Anonymous
3. 632 views
find f'(2) given g(2)=3, h(2)=-1, h'(2)=4, and g'(2)=-2f(x)=g(x)h(x) I'm just not understanding how to start this at all and
1. 3 answers
2. asked by Bri
3. 444 views
[Implicit Differentiation](5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)
1. 3 answers
2. asked by Z32
3. 811 views
Find the derivative of cos(sqrt(e^(x^3)cos(x))I got -sin(sqrt(e^(x^3)cos(x))*((sqrt(e^(x^3)cos(x)) Do I just leave the
1. 2 answers
2. asked by Z32
3. 664 views
Consider curve given byx^2+ 4y^2= 7 + 3xy.. Three part question A) show that dy/dx = 3y-2x/8y-3x B) Show that there is a point P
1. 1 answer
2. asked by Jane
3. 1,207 views
Find dy/dx for: 2y^3 - 3xy = 4Write an equasion for the line tangent to the curve at (1,2) Find d^2y/dx^2 at (1,2)
1. 2 answers
2. asked by Karen
3. 577 views
Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply(A) Local
1. 1 answer
2. asked by George
3. 999 views
Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply(A) Local
1. 0 answers
2. asked by George
3. 662 views
let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1 - Ln(x))/x squared.a) write
1. 3 answers
2. asked by sarah
3. 6,176 views
I have 3 calc problems that i have not been able to do please help me... i've been on here yesterday as well but no one was able
1. 1 answer
2. asked by John
3. 1,031 views
I got a few questions.Hope ya'll can help out. 1) for F(X) = 6x - 2x^2 Find the gradient of the chord joining the point where
1. 7 answers
2. asked by xxCeLoL
3. 878 views
For the parametric curve defined x=2t^3-12t^2-30t+9 and y=t^2-4t+6 ..find dy/dx and then where is the tangent to the curve
1. 0 answers
2. asked by Sammy
3. 736 views
How do you find f'(x), f''(x) of f(x) =ln (1-x)IF f(x) = ln (1-x) Then use the chain rule with u(x) = 1-x f(u) = ln u df/dx =
1. 0 answers
2. asked by Jill
3. 566 views
given S=piX(X+2Y) and V=piX^2Y show that dS/dX=pi(X-Y) when V is constant, anddV/dX=-piX(X-Y)when S is constant. Please HELP!! I
1. 1 answer
2. asked by sammy
3. 947 views
I am finding the second derivative of (x^2)(y^3) = 12x(y^3) + (x^2)(y')(3y^2) = 0 And I simplified the answer to y'= (-2y)/(3x)
1. 0 answers
2. asked by Jin
3. 736 views