# 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.

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 .

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

Simplify the right side.

Combine the numerators over the common denominator.

Multiply by .

Rewrite as .

Multiply by .

Simplify.

Combine.

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Start simplifying.

Raise to the power of .

Combine using the product rule for radicals.

Reorder factors in .

Reorder and .

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 product rule to .

Simplify the numerator.

Rewrite as .

Apply the distributive property.

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Raise to the power of .

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Simplify by adding numbers.

Add and .

Add and .

Since , is the inverse of .