Question

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

Answer 1

`-6/x^4`

Explanation:

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

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

before we differentiate express function as `2/x^3=2x^(-3)`

`rArrd/dx(2x^(-3))=(-3xx2)x^(-3-1)=-6x^(-4)=-6/x^4`