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Calculus Examples
Step 1
Differentiate using the Quotient Rule which states that is where and .
Step 2
Step 2.1
By the Sum Rule, the derivative of with respect to is .
Step 2.2
Since is constant with respect to , the derivative of with respect to is .
Step 2.3
Add and .
Step 2.4
Since is constant with respect to , the derivative of with respect to is .
Step 2.5
Differentiate using the Power Rule which states that is where .
Step 2.6
Multiply by .
Step 2.7
By the Sum Rule, the derivative of with respect to is .
Step 2.8
Since is constant with respect to , the derivative of with respect to is .
Step 2.9
Add and .
Step 2.10
Differentiate using the Power Rule which states that is where .
Step 2.11
Multiply by .
Step 3
Step 3.1
Apply the distributive property.
Step 3.2
Apply the distributive property.
Step 3.3
Apply the distributive property.
Step 3.4
Simplify the numerator.
Step 3.4.1
Simplify each term.
Step 3.4.1.1
Multiply by .
Step 3.4.1.2
Rewrite using the commutative property of multiplication.
Step 3.4.1.3
Multiply by by adding the exponents.
Step 3.4.1.3.1
Move .
Step 3.4.1.3.2
Multiply by .
Step 3.4.1.3.2.1
Raise to the power of .
Step 3.4.1.3.2.2
Use the power rule to combine exponents.
Step 3.4.1.3.3
Add and .
Step 3.4.1.4
Multiply by .
Step 3.4.1.5
Multiply by by adding the exponents.
Step 3.4.1.5.1
Move .
Step 3.4.1.5.2
Multiply by .
Step 3.4.1.5.2.1
Raise to the power of .
Step 3.4.1.5.2.2
Use the power rule to combine exponents.
Step 3.4.1.5.3
Add and .
Step 3.4.1.6
Multiply by .
Step 3.4.2
Combine the opposite terms in .
Step 3.4.2.1
Add and .
Step 3.4.2.2
Add and .
Step 3.4.3
Subtract from .
Step 3.5
Move the negative in front of the fraction.