# Calculus Examples

Replace with .

Interchange the variables.

Rewrite the equation as .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Combine the numerators over the common denominator.

Simplify the numerator.

Factor out of .

Rewrite as .

Factor out of .

Add and .

Add and .

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Since , is the inverse of .