## Trending News

Promoted

# how to factor the derivative of f(x) = x^{5}(x + 6)^{6}?

I found the derivative to be f '= 5x^4(x+6)^6 + 6x^5(x+6)^5

if i set it equal to zero how would I find the x intercepts?

### 3 Answers

Relevance

- EdLv 61 decade agoFavorite Answer
y = x^{5}(x + 6)^{6}

use the product rule = Vdu/dx + Udv/dx

u = x^5 v= (x+6)^6

dy/dx = (x+6)^6 * (5x^4) + [x^5 * 6(x+6)^5]

- 1 decade ago
your in luck, that's what I just learned in math. OK, first change f(x) to y, it's the same thing. Write (x+6)six times, then multiply them all together, u know how to do F.O.I.L. right?(first, outer, inner, last- that's the order to multiply it in) After you get the answer, multiply the answer by x to the fifth power, then factor the answer to find the x's. If u have any questions u can email me.

- Anonymous1 decade ago
f '= 5x^4(x+6)^6 + 6x^5(x+6)^5

f '= 5x^4(x+6)^6(6) + 6x^5(x+6)^5(6)

Still have questions? Get your answers by asking now.