Question

Find the derivative of f(x) = x(x+2)^2 * (x-2)^3

Answer 1

I got the derivative as \[f'(x) = 3x^5-7x^4-2x^3+36x^2-40x\]

Answer 2

I graphed it and it almost fits. 2/3 points fit, but f'(x) should have a zero at x = -1 but it didn't when I graphed it

Answer 3

It's a combination of chain rule and product rule, can you post your work?

Answer 4

i used the chain rule and product rule. It would take a long time to type it all out as it gets complex

Answer 5

You could take a picture or use wolfram as a reference http://www.wolframalpha.com/input/?i=derive+x%28x%2B2%29%5E2+*+%28x-2%29%5E3&dataset=

Answer 6

Ok seems easy enough. Thanks for reminding me about online calculators