# Math Help - Struggling to Factor this!

1. ## Struggling to Factor this!

struggling to diferentiate this:

x^5*(x+5)^4

i use the product rule but that results in something that appears completely bizarre! Any help will be appreciated!

2. Originally Posted by frozenflames
struggling to differentiate this:

x^5*(x+5)^4

i use the product rule but that results in something that appears completely bizarre! Any help will be appreciated!
To differentiate use the product rule and the chain rule
Also let $y = x^5(x+5)^4$

Spoiler:
$u = x^5 \: \rightarrow \: u' = 5x^4$

$v = (x+5)^4 \: \rightarrow \: 4(x+5)^3 \times 1$
(from the chain rule: $\frac{d}{dx}(x+5) = 1$)

$y' = 5x^4(x+5)^4 + 4x^5(x+5)^3 = [(5x)(x+5)]^4 + 4x^5(x+5)^3$