SOLUTION: differentiate the following function: f(x)=(x^2+1/x^3 )(x^3-x^2+1)

Algebra ->  Equations -> SOLUTION: differentiate the following function: f(x)=(x^2+1/x^3 )(x^3-x^2+1)       Log On


   

Question 1009966: differentiate the following function:
f(x)=(x^2+1/x^3 )(x^3-x^2+1)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29%22%22=%22%22%28x%5E2%2B1%2Fx%5E3+%29%28x%5E3-x%5E2%2B1%29

I'd write the 1%2Fx%5E3 as x%5E%28-3%29:

f%28x%29%22%22=%22%22%28x%5E2%2Bx%5E%28-3%29+%29%28x%5E3-x%5E2%2B1%29

then multiply the whole thing out and write everything as
a sum of powers of x

f%28x%29%22%22=%22%22x%5E5-x%5E4%2Bx%5E%28-3%29%2Bx%5E2-x%5E%28-1%29%2B1

Then it's easy to differentiate.  

Edwin