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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
By the Sum Rule, the derivative of with respect to is .
Step 2.3
Differentiate using the Power Rule which states that is where .
Step 2.4
Since is constant with respect to , the derivative of with respect to is .
Step 2.5
Add and .
Step 3
Step 3.1
Apply the distributive property.
Step 3.2
Simplify the numerator.
Step 3.2.1
Simplify each term.
Step 3.2.1.1
Rewrite using the commutative property of multiplication.
Step 3.2.1.2
Multiply by by adding the exponents.
Step 3.2.1.2.1
Move .
Step 3.2.1.2.2
Multiply by .
Step 3.2.1.3
Multiply by .
Step 3.2.1.4
Multiply by .
Step 3.2.2
Subtract from .
Step 3.3
Factor out of .
Step 3.3.1
Factor out of .
Step 3.3.2
Factor out of .
Step 3.3.3
Factor out of .