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287 Answered Questions for the topic Derivatives

10/31/16

I need help finding the derivative for this problem using the product rule

f(x)=(4x-4)((5x^3)-(x^2)+1)
Derivatives

10/31/16

Where did this derivative come from ?

f(x)= x^x2    I got f'(x)= x^x2 (x+2xlnx)    It says the answer is x^x2+1 (1+2lnx)    I have no clue how to get to that answer. What am i missing ? 
Derivatives Math Calculus

10/27/16

Find the derivative of cos(sqrtx)^3

I am not sure how to do this. So far I did Cos(x^(1/2)^3 So I did the chain rule to make Cos(u) where u = x^(3/2) Then I got -Sin(sqrtx)^3*(3/2)x^(1/2) Which then simplifies to... more
Derivatives

10/24/16

Chain rule for derivatives...why is my answer wrong?

y=(4-2x-3x2)5 y'= 5(-3x2 -2x+4)4*(-6x-2)   I used a online derivative calculatir to check my answer but it gave something completly different. 
Derivatives

10/17/16

derivative of y = e^((k)tan(sqrt(3x)))

derivative of y = e^((k)tan(sqrt(3x)))
Derivatives

10/16/16

derivative of y = [x + (x + sin(x)^2)^3]^7

derivative of y = [x + (x + sin(x)^2)^3]^7
Derivatives

10/16/16

Use limit definition and find equation of tangent for f(t)=sqrt(3t+5) , a=—1

Hi, I tried solving this and got (1)/(2sqrt2) but my book says the answer is (3)/(2sqrt2) 
Derivatives

10/16/16

Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 1. Find h'(2) for h(x) = g(x)/(1+f(x))

Suppose that f(2) = −5, g(2) = 3, f '(2) = −2, and g'(2) = 1. Find h'(2) for h(x) = g(x)/(1+f(x))
Derivatives Calculus Critical Point

10/10/16

Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?

It says to eliminate one variable so I eliminated x.   A=xy L2=x2+y2 x=(L2-y2)1/2   A=y*(L2-y2)1/2     =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3   I don't know where to go... more
Derivatives Math Functions

10/07/16

Find where the function is increasing and decreasing

The derivative of a polynomial is f'(x) = (x-3)^2 (x+7)
Derivatives Math Calculus

10/07/16

How fast is the distance from the particle to the origin changing at this instant?

the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s.  How fast is the distance from the particle to the... more
Derivatives Math Calculus

10/06/16

Use the definiton of a derivative to solve -2x+5

So far I have: y=-2+5   y1 = (-2(x+h)+5-(2x+5))/h   (-2-2h+5-2x-5)/h   (-4x-2h)/h   If I set h=0 it becomes -4x/0 which is undefined... What am I doing wrong?    
Derivatives Calculus F(x)

09/29/16

Derivatives of Inverse Functions

"Suppose g is the inverse function of a differentiable function f, and G(x)=1/g(x). If f(3)=7 and f'(3)=1/9, find G'(9). FInd G'(7)."   Please show all steps- thanks so much!!
Derivatives Math Derivative

09/23/16

derivative at a number

Find the derivative of f(x) = sqrt(36-x^2) / 9x when x=2

09/16/16

Calculus 2 The Fundamental Theory of Calculus help

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of y=∫cos(u2)du for b=4x and a=cos(x). I don't quite understand what to do here.
Derivatives

08/23/16

how do you workout the derivative of the following function using the power rule: y=3000(1-x/20)^2

y=3000(1-x/20)2
Derivatives Math Math Help

08/09/16

what are the first and second derivatives of the equation: 3x^4y^3-4x^3+7y^2-13

Pretty straight forward, but i am having trouble. You help would be much appreciated
Derivatives Antiderivative

07/23/16

find the function F that satisfies the following differential equations.

f'''(x)=4x, f''(0)=0, f'(0)=1, f(0)=3
Derivatives

07/02/16

find the higher order derivative:

d^n/dx^n (2^x)

07/02/16

is there any horizantal tangent line in this function?

y=x^sqrtx
Derivatives Calculus Logarithms

07/02/16

find the derivative of the function

y=4^-x *sinx
Derivatives Calculus Cosine

06/26/16

use version 2 of the chain rule to calculate the derivative of the following function

y=cos^4 *x+sin^4 *x
Derivatives

06/22/16

Use interval notation to indicate where f(x) is concave up and down

If f(x)=(x-3)/(x^2)   Use interval notation to indicate where f(x) is concave up and down
Derivatives

06/22/16

Use interval notation to indicate where f(x) in increasing

f(x)= 4x - 2 / x+7 Use interval notation to indicate where f(x) is increasing and where it is decreasing   ALSO   use interval notation to indicate where f(x) is concave up or down
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