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 \(f'(x)\)?