# How do you differentiate #y = lnx^2#?

##### 3 Answers

Mar 4, 2016

#### Explanation:

Applying the chain rule, along with the derivatives

Mar 4, 2016

#### Explanation:

Alternatively, we can simplify

Since

Mar 4, 2016

#### Explanation:

Just to show the versatility of calculus, we can solve this problem through implicit differentiation.

Raise both side to the power of

#y=ln(x^2)#

#e^y=e^ln(x^2)#

#e^y=x^2#

Differentiate both sides with respect to

#e^y(dy/dx)=2x#

#dy/dx=(2x)/e^y#

Recall that

#dy/dx=(2x)/x^2=2/x#