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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. 57 views
derive x2ln(3x^2+5x)product rule
1. 1 answer
2. 32 views
power rulelog3xp
1. 1 answer
2. 52 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. 89 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. 230 views
Find f'(x).f(x) = 3 ln x + ln x8 + 7ex
1. 1 answer
2. asked by Safa
3. 118 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. 331 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. 908 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. 724 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. 1,738 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. 350 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. 4,280 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. 334 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. 922 views
Use the second derivative test to find the relative extrema of f(x) = x3 − 12x.
1. 3 answers
2. asked by john
3. 1,343 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. 313 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. 1,042 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. 620 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. 1,087 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. 593 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. 653 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. 1,112 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. 450 views
Quotient Rule:Use the limit definition of the derivative to prove that the quotient rule
1. 1 answer
2. asked by Bob
3. 1,333 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. 2,965 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. 2,127 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. 745 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. 640 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. 7,263 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. 1,135 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. 563 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. 1,834 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. 2,261 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. 1,368 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. 1,859 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. 1,317 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. 4,692 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. 582 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. 554 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. 1,750 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. 544 views
Differentiate with respect to (t).y = d cos(t) + (t^2)sin(t)
1. 1 answer
2. asked by Melish
3. 684 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. 1,256 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. 650 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. 1,571 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. 991 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. 815 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. 696 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. 370 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. 522 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. 5,500 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. 970 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. 809 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. 612 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. 1,038 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. 407 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. 1,030 views
find y' if sin^-1(xy)=cosy
1. 1 answer
2. asked by angie
3. 1,743 views
find f'(x) if f(x)=a^xis in undefined, xe, of e^x?
1. 0 answers
2. asked by johnanthan
3. 304 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. 286 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. 3,068 views
find f''(x) if f(x)= 3(�ãx2-2x+1)
1. 3 answers
2. asked by Angie
3. 430 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. 4,712 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. 11,091 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. 2,175 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. 562 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. 470 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. 581 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. 545 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. 621 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. 573 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. 375 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. 731 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. 1,379 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. 437 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. 5,628 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. 1,015 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. 514 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. 881 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. 1,072 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. 474 views
Find d2y/dx2 in terms of x and y.y5 = x6
1. 1 answer
2. asked by Matt
3. 2,663 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. 389 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. 545 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. 1,284 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. 593 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. 412 views
[Implicit Differentiation](5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)
1. 3 answers
2. asked by Z32
3. 777 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. 609 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. 1,148 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. 535 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. 947 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. 604 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. 6,098 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. 985 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. 819 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. 673 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. 521 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. 889 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. 691 views