Rewrite as .

Factor out of .

Apply the product rule to .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

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

Differentiate using the Power Rule which states that is where .

To write as a fraction with a common denominator, multiply by .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Combine and .

Combine and .

Combine and .

Move to the denominator using the negative exponent rule .

Find the Derivative – d/dt y=tan( square root of 3t)