Calculus
# Derivatives

If $\displaystyle f(x)=\frac{1}{x},$ what is $f'(x)$?

If $\displaystyle f(x)=\frac{1}{x^3},$ what is $f'(x)$?

If $\displaystyle f(x)=\frac{-7x}{x^2+7},$ what is the value of $f'(3)?$

If $\displaystyle f(x)=\frac{x-22}{x^2+1},$ what is the value of $f'(-1)?$

If $\displaystyle f(x)=\frac{4}{x^2},$ what is $f'(x)$?