# Examples of Higher Order Derivatives

__Example__**: **Find second derivative if .

We have the given function

Differentiate both sides with respect to , we have

Again differentiate both sides with respect to , we have

__Example__**:** If , then show that

We have the given function

Differentiate both sides with respect to , we have

Again differentiate both sides with respect to , we have

Using the value of given function in the above equation, we have