Derivative Help: differentiate using product rule

[digidako]

Homework Statement

(1-2x³+x²)((1/x³)+1)

Homework Equations

f'g(x)+g'f(x)
f'(x)=-6x³+2x
g'(x)=(-1/x⁴)

The Attempt at a Solution

I found what i believe to be the derivative of both f(x) & g(x) and used the product rule to get to where I am stuck right now:

[(-6x²+2x)(1/x³)]+[(-1/x⁴)(1-2x³+x²)

 

[Fredrik]

Homework Statement

(1-2x³+x²)((1/x³)+1)

Homework Equations

f'g(x)+g'f(x)
f'(x)=-6x³+2x
g'(x)=(-1/x⁴)

The Attempt at a Solution

I found what i believe to be the derivative of both f(x) & g(x) and used the product rule to get to where I am stuck right now:

[(-6x²+2x)(1/x³)]+[(-1/x⁴)(1-2x³+x²)

Your result for g'(x) is wrong, assuming that g(x)=1/x³+1. Your f'(x)g(x) is wrong too.