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Calculus Examples
Step 1
Rewrite as .
Step 2
Step 2.1
Apply the distributive property.
Step 2.2
Apply the distributive property.
Step 2.3
Apply the distributive property.
Step 3
Step 3.1
Simplify each term.
Step 3.1.1
Rewrite using the commutative property of multiplication.
Step 3.1.2
Multiply by by adding the exponents.
Step 3.1.2.1
Move .
Step 3.1.2.2
Multiply by .
Step 3.1.3
Multiply by .
Step 3.1.4
Multiply by .
Step 3.1.5
Multiply by .
Step 3.1.6
Multiply by .
Step 3.2
Add and .
Step 4
By the Sum Rule, the derivative of with respect to is .
Step 5
Since is constant with respect to , the derivative of with respect to is .
Step 6
Differentiate using the Power Rule which states that is where .
Step 7
Multiply by .
Step 8
Since is constant with respect to , the derivative of with respect to is .
Step 9
Differentiate using the Power Rule which states that is where .
Step 10
Multiply by .
Step 11
Since is constant with respect to , the derivative of with respect to is .
Step 12
Add and .