Question

What is the derivative of `y=1/2(x^2-x^-2)`?

Answer 1

`x+x^-3`

Explanation:

distribute the `1/2`:
`x^2/2-x^-2/2`

use the power rule: `d/dxx^n=nx^(n-1)`
`(2x)/2-(-2x^-3)/2`

= `x+x^-3`