Problem of the Week

Updated at Apr 1, 2019 11:27 AM

How can we find the derivative of \(7w+\sin{w}\)?

Below is the solution.



\[\frac{d}{dw} 7w+\sin{w}\]

1
Use Sum Rule: \(\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\).
\[(\frac{d}{dw} 7w)+(\frac{d}{dw} \sin{w})\]

2
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[7+(\frac{d}{dw} \sin{w})\]

3
Use Trigonometric Differentiation: the derivative of \(\sin{x}\) is \(\cos{x}\).
\[7+\cos{w}\]

Done
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