# Match the rule with the title. \frac{\mathrm{d} }{\mathrm{d} x} \left [cf(x)\right ]= cf'(x) A....

## Question:

Match the rule with the title.

{eq}\frac{\mathrm{d} }{\mathrm{d} x} \left [cf(x)\right ]= cf'(x) {/eq}

A. Constant Rule

B. Single Variable Rule

C. Power Rule

D. Constant Multiple Rule.

E. Sum and Difference Rule

F. Product Rule

G. Quotient Rule

H. Chain Rule

## Derivative:

The derivative {eq}\dfrac{dy}{dx} {/eq} represents the rate of change in the value of y with respect to the rate of change in the value of x. The rate of change can be positive or negative.

The constant multiple rule of derivative represents the derivative of the function f(x) that is multiplied by a constant c.

{eq}\dfrac{d}{dx}[cf(x)] = c\dfrac{d}{dx}[f(x)] = cf'(x) {/eq}

The correct option is D.