# Examples of Higher Order Derivatives

__Example__**: **Find the second derivative if .

We have the given function

Differentiating both sides with respect to , we have

Again, differentiating both sides with respect to , we have

__Example__**:** If , then show that

We have the given function

Differentiating both sides with respect to , we have

Again, differentiating both sides with respect to , we have

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