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 \(-\sin{x}\).
\[5-\sin{p}\]

Done
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