I got the right answer, but need to understand HOW to get to the answer.. help pls?

Find the derivative of the function.
h(x) = (5 + x)/(2x^2 +5)^2

Question

I got the right answer, but need to understand HOW to get to the answer.. help pls?

Find the derivative of the function.
h(x) = (5 + x)/(2x^2 +5)^2

anonymous · Answer

Do you know the rule you need for derivating a fractional function?

anonymous · Answer

yes, quotient rule.

anonymous · Answer

ok, here goes

anonymous · Answer

$$f'(x)g(x) - f(x)g'(x) \over { g(x)^2 } $$

anonymous · Answer

My simplified answer was correct, but it wasn't the completely simplified version.

anonymous · Answer

f'(x) = 1
g'(x) = 2(2x^2+5)*4x

anonymous · Answer

got that too?

anonymous · Answer

yep

anonymous · Answer

what about posting the answer you got and the answer you need?

anonymous · Answer

ok

anonymous · Answer

attachment

anonymous · Answer

let me know if you can't view it

anonymous · Answer

i'm viewing
looks like you need to cancel out x in all terms

anonymous · Answer

you factor out (2x^2+5) in all terms

anonymous · Answer

(5+x)(15x^3+40x) = -8 (x-5) x (2 x+5)

anonymous · Answer

-8 (x-5) (2x^2+5x)

anonymous · Answer

after that step all exp[ressions share the (2x^2+5x) factor and you can cancel them out

anonymous · Answer

brb

anonymous · Answer

I think you have a typo... it should be factored by (2x^2 +5)? no "x" with the 5

anonymous · Answer

at least that's how it is on the answer :)

anonymous · Answer

true, but that's the way to do it, make sure they have a common factor and get rid of it

anonymous · Answer

oh ok.. got it. thank you!