SOLUTION: Differentiate this function f(x) (x-2) / x^(2) I got: 1/x -2/x^(2) Then: x^(-1) -2x^(-2) Then differentiated: -1x^(-2) + 4x^(-3). My answer: -1/x^(2) + 4/x^(3) However

Algebra ->  Exponents -> SOLUTION: Differentiate this function f(x) (x-2) / x^(2) I got: 1/x -2/x^(2) Then: x^(-1) -2x^(-2) Then differentiated: -1x^(-2) + 4x^(-3). My answer: -1/x^(2) + 4/x^(3) However       Log On


   

Question 936599: Differentiate this function f(x)
(x-2) / x^(2)
I got: 1/x -2/x^(2)
Then: x^(-1) -2x^(-2)
Then differentiated: -1x^(-2) + 4x^(-3).
My answer: -1/x^(2) + 4/x^(3)
However this was wrong. The answer in the book was: (4-x) / x^(3)
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Have not checked all your steps, but try Quotient Rule.

%28x%5E2%2A1-%28x-2%29%2A2x%29%2Fx%5E4

%28x%5E2-2x%5E2%2B4x%29%2Fx%5E4

%28x%2Fx%29%28x-2x%2B4%29%2Fx%5E3

%28-x%2B4%29%2Fx%5E3

highlight%28%284-x%29%2Fx%5E3%29

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Looking at YOUR answer,
4%2Fx%5E3-1%2Fx%5E2
4%2Fx%5E3-x%2Fx%5E3 -------(elementary fractions skill)
highlight%28%284-x%29%2Fx%5E3%29

The answer shown in your book might or might not be thought as more simplified, but the two answers ARE equivalent.