Constant Factor Rule

Reference > Calculus: Differentiation

Description
\[\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))\]
Examples
\[\frac{d}{dx} 4\sin{x}\]
1
Apply the Constant Factor Rule: \(\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))\)
\[4(\frac{d}{dx} \sin{x})\]

2
The derivative of \(\sin{x}\) is \(\cos{x}\)
\[4\cos{x}\]

Done

See Also