To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Multiply by .

To apply the Chain Rule, set as .

Differentiate using the Exponential Rule which states that is where =.

Replace all occurrences of with .

To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

Multiply by .

The derivative of with respect to is .

Multiply by .

Reorder the factors of .

Find the Derivative – d/dt cos(e^(cos(t)^2))^2