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

29) Find the derivative of the function.

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 11:32am
Should be =4x(3-4x)^3(-12x+3)

- derivative -
**Damon**, Saturday, June 11, 2011 at 1:21pm
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)

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

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 1:41pm
F(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 2:52pm
The 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 3:47pm
In 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

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