Enter a problem...
Calculus Examples
Step 1
Since is constant with respect to , the derivative of with respect to is .
Step 2
Differentiate using the Quotient Rule which states that is where and .
Step 3
Step 3.1
By the Sum Rule, the derivative of with respect to is .
Step 3.2
Differentiate using the Power Rule which states that is where .
Step 3.3
Differentiate using the Power Rule which states that is where .
Step 3.4
Since is constant with respect to , the derivative of with respect to is .
Step 3.5
Add and .
Step 3.6
Differentiate using the Power Rule which states that is where .
Step 3.7
Combine fractions.
Step 3.7.1
Multiply by .
Step 3.7.2
Multiply by .
Step 4
Step 4.1
Apply the distributive property.
Step 4.2
Apply the distributive property.
Step 4.3
Simplify the numerator.
Step 4.3.1
Simplify each term.
Step 4.3.1.1
Rewrite using the commutative property of multiplication.
Step 4.3.1.2
Multiply by by adding the exponents.
Step 4.3.1.2.1
Move .
Step 4.3.1.2.2
Multiply by .
Step 4.3.1.2.2.1
Raise to the power of .
Step 4.3.1.2.2.2
Use the power rule to combine exponents.
Step 4.3.1.2.3
Add and .
Step 4.3.1.3
Multiply by .
Step 4.3.1.4
Multiply by .
Step 4.3.2
Combine the opposite terms in .
Step 4.3.2.1
Subtract from .
Step 4.3.2.2
Add and .
Step 4.3.3
Subtract from .
Step 4.4
Cancel the common factor of and .
Step 4.4.1
Factor out of .
Step 4.4.2
Factor out of .
Step 4.4.3
Factor out of .
Step 4.4.4
Cancel the common factors.
Step 4.4.4.1
Factor out of .
Step 4.4.4.2
Cancel the common factor.
Step 4.4.4.3
Rewrite the expression.