# How do you differentiate #f(x)=lnx+ln2x+3x# using the sum rule?

##### 1 Answer

Nov 20, 2015

#### Explanation:

The derivative of

To find the derivative of

Therefore,

(Note that this is a use of the sum rule.)

The derivative of

(This is the sum rule.)

# = 1/x+1/x+3 = 2/x+3#

If you prefer to write the derivative as a single ratio, get a common denominator and write: