You have learned several differentiation rules already and will learn several more soon. Memorizing helps to keep things straight. So does studying smart. The first step in all differentiation problems is knowing which rule to use. Match each function with the rule or rules needed to calculate its derivative.

$f(x)=4x^2$

A$.$ power rule

$f(x)=x^{-3}$

B$.$ constant function rule

$f(x)={}^2$

C$.$ constant multiplier rule

$f(x)=\frac{x^2}{\sqrt[\phantom{2}]{x}}$

D$.$ constant addition rule

$f(x)=\frac{\sqrt[\phantom{2}]{x}}{x^2}$

E$.$ addition rule

$f(x)=13-2x$

F$.$ subtraction rule

$f(x)=x(x^2)(x^4)$

$f(x)=x^2(x^4+4)$

$f(x)=x^3-x^2+7x$