Question

How do you find the derivative of `-2x^(-3/2)`?

Answer 1

`3x^(-5/2)`

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(a/a)|)`

`rArrd/dx(-2x^(-3/2))=-3/2xx-2x^((-3/2-1))=3x^(-5/2)`