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# Compute the derivative of the given function

Compute the derivative of the function Using the chain rule, # Compute the derivative of the given function

Compute the derivative of the function First, we simplify the given expression, Then, we take the derivative, # Compute the derivative of the given function

Compute the derivative of the function We recall the derivatives and . (We proved these in this exercise, found in Apostol Section 4.6, Exercise #25.) Then, we use the chain rule to compute The second to last equality follows from the trig identity since, Implies, # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, The final equality follows from the identity since # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, # Compute the derivative of the given function

Compute the derivative of the function Using the chain rule we compute, where we used the trig identity in the second step.