Derivative Of f(x) = 1/sqrt(x)

[dagr8est]

The steps are too tedious to type out but I get f'(x) = -1/[2x^(-3/2)] while the back of the book says it's f'(x) = -1/[2x^(3/2)]. Which answer is correct? I'll provide my steps if my answer is wrong although it won't be pretty. Any help would be appreciated.

 

[Gene]

Your mistake is in puting it in the denominator. If you write it as
f(x)=x^(-1/2), which you probably did, you should get your answer except it is (-1/2)x^(-3/2), still in the numerator. When you move it down, you get the book's answer.

 

[dagr8est]

Whoops. That's the mistake.