# Calculus Examples

Replace with .

Interchange the variables.

Rewrite the equation as .

Subtract from 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 .

Move the negative in front of the fraction.

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

Simplify .

Combine the numerators over the common denominator.

Rewrite as .

Multiply by .

Simplify.

Combine.

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Move the exponent into the radical in .

Raise to the power of .

Combine using the product rule for radicals.

Reorder factors in .

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Simplify the numerator.

Subtract from .

Add and .

Multiply by .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Since , is the inverse of .