# Calculus Examples

Replace with .
Interchange the variables.
Solve for .
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
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 to get .
Solve for and replace with .
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 to get .
Divide by to get .
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 to get .
Divide by to get .
Simplify by subtracting numbers.
Subtract from to get .
Since , is the inverse of .

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