Saturday

February 28, 2015

February 28, 2015

Posted by **Steff** on Saturday, June 11, 2011 at 11:31am.

F(X)=2x^2(3-4x)^2

This is what I have so far. I am usually pretty good at simplifying but I am missing something here.

f'(x)=2x^2(4)(3-4x)^3(-4) + (3-4x)^4(4x)

Here is where I go wrong. (Answer from book)

=4x(3-4x)^3(-12+3)

Thanks for your help.

- derivative -
**Steff**, Saturday, June 11, 2011 at 11:32amShould be =4x(3-4x)^3(-12x+3)

- derivative -
**Damon**, Saturday, June 11, 2011 at 1:21pmF(X)=2x^2(3-4x)^2

This is what I have so far. I am usually pretty good at simplifying but I am missing something here.

f'(x)=2x^2(4)(3-4x)^3(-4) + (3-4x)^4(4x)

Here is where I go wrong. (Answer from book)

=4x(3-4x)^3(-12+3)

=================================

I get

F(X)=2x^2(3-4x)^2

f' = 2x^2 (2)(3-4x)(-4) +(3-4x)^2(4x)

= -16x^2(3-4x)+4x(3-4x)^2

= 4x(3-4x)(3-4x) -16x^2(3-4x)

= 4x(3-4x)(3-4x) -4x(3-4x)(4x)

= 4x(3-4x)(3-4x-4x)

=4x(3-4x)(3-8x)

- derivative -
**Damon**, Saturday, June 11, 2011 at 1:41pmF(X)=2x^2(3-4x)^2

another way

f(x) = 2x^2(9 - 24x +16 x^2)

= 18 x^2 - 48 x^3 +32 x^4

take the derivative of that

= 36 x - 144 x^2 + 128 x^3

= 4x ( 9 - 36 x + 32 x^2)

= 4 x (3-4x)(3-8x)

Unless you have a typo, I have it right and the book has it wrong.

- derivative -
**Robo**, Saturday, June 11, 2011 at 2:52pmThe final answer in the book is

(-12x)(4x-1)(3-4x)^3

This book has had several errors so far.

- derivative -
**Bosnian**, Sunday, June 12, 2011 at 3:47pmIn google type:

wolfram alpha

When you see list of results click on:

Wolfram Alpha:Comutation Knowledge Engine

When page be open in rectangle type:

2x^2(3-4x)^2

and click option =

After few seconds you will see everything about that function.

Then click option

Derivative: Show steps

**Answer this Question**

**Related Questions**

Calculus Please check - Please check my answers and let me know if I did ...

CALC 1 - Suppose that h is a function with h'(x) = xe^x. Find all intervals ...

math - Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x ...

calculus - Please help with this. I need the first derivative of f(x)=4(x+...

Calculus - If P'(t)= [10(t+2)]/t. What is P(t)? It is asking for the derivative...

Calc - a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx...

calculus - functions! - I was assigned this problem and I'm coming up against a ...

Calculus I - Find the derivative of y=ln((1+e^x)/(1-e^x)) I know that the ...

Calculus - Derivative of the implicit Function: arctan(x^5y)=xy^5 Here is where ...

Calculus - Use a symbolic differentiation utility to find the derivative of the ...