# Find the Derivative – d/dx (sin(2x))/(cos(x))

Rewrite as a product.
Write as a fraction with denominator .
Simplify.
Divide by .
Convert from to .
Differentiate using the Product Rule which states that is where and .
The derivative of with respect to is .
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 .
Move to the left of .
Differentiate using the Power Rule which states that is where .
Simplify the expression.
Multiply by .
Reorder terms.
Find the Derivative – d/dx (sin(2x))/(cos(x))