# Problem of the Week

## Updated at Dec 14, 2015 8:00 AM

This week's problem comes from the calculus category.

How can we find the derivative of $$\sin{x}+{x}^{4}$$?

Let's begin!

$\frac{d}{dx} \sin{x}+{x}^{4}$

 1 Use Sum Rule: $$\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))$$.$(\frac{d}{dx} \sin{x})+(\frac{d}{dx} {x}^{4})$2 Use Trigonometric Differentiation: the derivative of $$\sin{x}$$ is $$\cos{x}$$.$\cos{x}+(\frac{d}{dx} {x}^{4})$3 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.$\cos{x}+4{x}^{3}$Donecos(x)+4*x^3