# 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 $$\frac{1}{x}$$.$6+\frac{1}{x}$Done6+1/x