Find the given derivative by finding the first few derivatives and observing the pattern that occurs. . d^114 /dx^114 of (sinx)

To find



We need to find some few derivatives of , say the first eight derivatives and then observe some pattern.

















We can recognize the following patterns in the order of the derivativatives;

1. The derivative of to the orders, is

2. The derivative of to the orders, is

3. The derivative of to the orders, is

The order, 114 belongs to the second pattern. Therefore,