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 ?

#### 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

10/16/16

#### 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))

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

#### Find where the function is increasing and decreasing

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

#### 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

#### 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 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!!

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

#### 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

#### 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

## Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.