Problem of the Week

Updated at Mar 30, 2015 9:44 AM

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

How can we solve for the derivative of \(6x+\ln{x}\)?

Check out the solution below!



\[\frac{d}{dx} 6x+\ln{x}\]

1
Use Sum Rule: \(\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))\).
\[(\frac{d}{dx} 6x)+(\frac{d}{dx} \ln{x})\]

2
Use Power Rule: \(\frac{d}{dx} {x}^{n}=n{x}^{n-1}\).
\[6+(\frac{d}{dx} \ln{x})\]

3
The derivative of \(\ln{x}\) is \(\frac{1}{x}\).
\[6+\frac{1}{x}\]

Done
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