Question

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

Answer 1

`dy/dx=x+x^-3`

Explanation:

`"differentiate using the "color(blue)"power rule"`

`•color(white)(x)d/dx(ax^n)=nax^(n-1)`

`y=1/2x^2-1/2x^-2`

`rArrdy/dx=(2xx1/2)x^(2-1)-(-2xx1/2)x^(-2-1)`

`color(white)(rArrdy/dx)=x+x^-3`