ccos

By the Sum Rule, the derivative of with respect to is .

Since is constant with respect to , the derivative of with respect to is .

The derivative of with respect to is .

Move to the left of .

Rewrite as .

Differentiate using the Product Rule which states that is where and .

The derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Move to the left of .

Reorder terms.

Find the Derivative – d/dt ccos(t)+t^2sin(t)