# How do you find the derivative of #y=ln(5x)#?

##### 3 Answers

#y'=1/x#

**Explanation**

Suppose,

#y=ln(b(x))# then using Chain Rule,

#y'=1/(b(x))*(b(x))'# Similarly following for the above function yields,

#y'=1/(5x)*(5x)'#

#y'=1/(5x)*5#

#y'=1/x#

A student comfortable with the natural logarithm function and its properties might think of this:

One could reason as follows:

But

Therefore,

Using the Chain Rule you'll get:

(Derive