Derivatives of logarithmic functions with power terms

[jzq]

These are the problems (Please, just point me in the right direction):

$$y=x^{2}\ln(6x)$$

$$f(x)=x\ln(12x)$$

 

[whozum]

Do you know the derivative of ln(x)?

 

[jzq]

Do you know the derivative of ln(x)?

1/x

10 char

 

[nsnayak]

The product rule -- d(uv)/dx = u'v + uv'
[edit: sorry had the answers, didnt know he didnt want to know them]

 

[whozum]

$$y = x^2ln(6x)$$

$$\frac{dy}{dx} = \frac{d(x^2ln(6x))}{dx}$$

which is of the form

$$\frac{d(u(x)v(x))}{dx} = u\frac{dv}{dx} + v\frac{du}{dx}$$

Use the chain rule when necessary (in the logarithm).