Problem of the Week

Updated at Jun 1, 2015 8:09 AM

To get more practice in calculus, we brought you this problem of the week:

How can we find the derivative of \(7x-\sin{x}\)?

Check out the solution below!



\[\frac{d}{dx} 7x-\sin{x}\]

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

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

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

Done
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