# How do you find the first and second derivative of #sin^2(lnx)#?

##### 1 Answer

May 9, 2016

Use of chain rule twice and at the second derivative use of quotent rule.

**First derivative**

**Second derivative**

#### Explanation:

**First derivative**

Although this is acceptable, to make the second derivative easier, one can use the trigonometric identity:

Therefore:

**Second derivative**