# Calculus Examples

Replace with .

Interchange the variables.

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Simplify each term.

Apply the distributive property.

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Simplify by subtracting numbers.

Subtract from .

Add and .

Since , is the inverse of .