Question

How do you find the derivative of `f(x)= 2/x`?

Answer 1

`f'(x)=-2/x^2`

Explanation:

The Quotient Rule isn't really needed here, we may rewrite with negative exponents and apply the rule.

`2/x=2x^-1`

`d/dx(2x^-1)=-2x^-2=-2/x^2`

`f'(x)=-2/x^2`