# Need help on finding derivatives of logarithmic functions!

1. Apr 21, 2005

### jzq

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

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

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

2. Apr 21, 2005

### whozum

Do you know the derivative of ln(x)?

3. Apr 21, 2005

### jzq

1/x

10 char

4. Apr 21, 2005

### nsnayak

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

Last edited: Apr 21, 2005
5. Apr 21, 2005

### 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).