Should be =4x(3-4x)^3(-12x+3)
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)
f' = 2x^2 (2)(3-4x)(-4) +(3-4x)^2(4x)
= 4x(3-4x)(3-4x) -16x^2(3-4x)
= 4x(3-4x)(3-4x) -4x(3-4x)(4x)
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.
The final answer in the book is
This book has had several errors so far.
In google type:
When you see list of results click on:
Wolfram Alpha:Comutation Knowledge Engine
When page be open in rectangle type:
and click option =
After few seconds you will see everything about that function.
Then click option
Derivative: Show steps
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 - Use a symbolic differentiation utility to find the derivative of the ...
math - Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x...
calculus - Find the derivative of the function using the definition of ...
math - Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x ...
math - I have the same project as Jill down there... -What is the definition of ...
Calculus (Derivatives) - What is the derivative of the this functon? g(x) = -500...
calculus - how do you find the derivative of (X^2(2+x^1/2))/x^4. I'm confused ...
calculus - You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the...