# Calculus Examples

Find the Derivative Using Quotient Rule - d/dx
Differentiate using the Quotient Rule which states that is where and .
Differentiate.
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
Multiply by .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
Multiply by .
Simplify.
Apply the distributive property.
Apply the distributive property.
Simplify the numerator.
Remove unnecessary parentheses.
Simplify each term.
Multiply by by adding the exponents.
Move .
Combine and
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.