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

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