# Calculus Examples

Step 1

Differentiate using the Quotient Rule which states that is where and .

Step 2

Step 2.1

Differentiate using the Power Rule which states that is where .

Step 2.2

Multiply by .

Step 2.3

By the Sum Rule, the derivative of with respect to is .

Step 2.4

Differentiate using the Power Rule which states that is where .

Step 2.5

Since is constant with respect to , the derivative of with respect to is .

Step 2.6

Simplify the expression.

Step 2.6.1

Add and .

Step 2.6.2

Multiply by .

Step 3

Raise to the power of .

Step 4

Raise to the power of .

Step 5

Use the power rule to combine exponents.

Step 6

Add and .

Step 7

Subtract from .

Step 8

Step 8.1

Factor out of .

Step 8.2

Rewrite as .

Step 8.3

Factor out of .

Step 8.4

Rewrite as .

Step 8.5

Move the negative in front of the fraction.