Can someone let me know if the answer to this problem is correct? I'm trying to get the derivative of a function algebracially...

Question

anonymous · Answer

$$f(x) = x ^{4}(1- (2)/x+1)$$

anonymous · Answer

note the two is the numerator of the fraction

anonymous · Answer

this is how i got my answer...

anonymous · Answer

$$x ^{4}-(2x ^{4}/x+1)$$
I timed x^4 into g(x). Then I took the derivative of the whole function. 
$$4x ^{3}- (2x ^{3}(x+1)-(1)(2x ^{4)}/(x+1)^{2})$$

anonymous · Answer

$$4x ^{3}-2x ^{4}+2x ^{3}-2x ^{4}/(x+1)^{2}$$ canceling out the terms (-2x^4) I got this. $$4x ^{3}- 2x ^{3}/(x+1)^{2}$$. Final answer is: $$f'(x)=2x ^{3}/(x+1)^{2}$$

anonymous · Answer

http://www.wolframalpha.com/input/?i=x^4%281-%282%2F%28x%2B1%29%29

anonymous · Answer

oh okay.  Guess I need more work with these problems. Thanks.