# Problem of the Week

Updated at Apr 8, 2019 10:28 AM

This week we have another calculus problem:

How would you differentiate $$5p+\cos{p}$$?

Let's start!

$\frac{d}{dp} 5p+\cos{p}$

 1 Use Sum Rule: $$\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))$$.$(\frac{d}{dp} 5p)+(\frac{d}{dp} \cos{p})$2 Use Power Rule: $$\frac{d}{dx} {x}^{n}=n{x}^{n-1}$$.$5+(\frac{d}{dp} \cos{p})$3 Use Trigonometric Differentiation: the derivative of $$\cos{x}$$ is $$-\sin{x}$$.$5-\sin{p}$Done5-sin(p)