Question

How do you find the derivative of `f(x)=x^-100`?

Answer 1

`f'(x)=-100x^(-101)`

Explanation:

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

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

`rArrf'(x)=-100x^((-100-1))=-100x^(-101)`