# 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 $$\cos{x}$$.$7+\cos{w}$Done7+cos(w)