Constant Factor Rule

Reference > Calculus: Differentiation

Description

\[\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))\]

Examples

\[\frac{d}{dx} 4\sin{x}\]

Use Constant Factor Rule: \(\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))\).

\[4(\frac{d}{dx} \sin{x})\]

Use Trigonometric Differentiation: the derivative of \(\sin{x}\) is \(\cos{x}\).

\[4\cos{x}\]

Done