Solve for f(x) given h(x) and h'(x)

[pureelite1]

Homework Statement

h(x)=(5-5x²)f(x) h'(x)=6xf(x)+4x⁴+2x²

Homework Equations

Find f(x)

The Attempt at a Solution

I tried finding h'(x) from the first part and then equating the two, but this does not seem to work. Urgent help required TEST in 2 hours! The general method may be provided does not have to solve this exact question as the values may not be 100% i am recalling from a person who has already written the test so the general method is required.

 

[micromass]

What did you try already??

 

[pureelite1]

Sorry for the late reply but yea i solved the problem during the test. So basically i find the derivative of h(x) it is not the same as h'(x) that they provided you in the question. Then you just equate your derived h'(x) to the given h'(x), isolate for f(x). Although on the test it was f'(x) so you just had to do opposite of differentiation to get f(x)