Constant Factor Rule

Reference > Calculus: Differentiation

Description
ddxcf(x)=c(ddxf(x))\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))
Examples
ddx4sinx\frac{d}{dx} 4\sin{x}
1
Use Constant Factor Rule: ddxcf(x)=c(ddxf(x))\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x)).
4(ddxsinx)4(\frac{d}{dx} \sin{x})

2
Use Trigonometric Differentiation: the derivative of sinx\sin{x} is cosx\cos{x}.
4cosx4\cos{x}

Done

See Also