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

Simplify with factoring out.
Rewrite as .
Factor out of .
Apply the product rule to .
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate.
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 .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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)