Enter a problem...
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
Differentiate using the Power Rule which states that is where .
Step 2.3
Since is constant with respect to , the derivative of with respect to is .
Step 2.4
Add and .
Step 3
Step 3.1
To apply the Chain Rule, set as .
Step 3.2
The derivative of with respect to is .
Step 3.3
Replace all occurrences of with .
Step 4
Step 4.1
Factor out of .
Step 4.2
Factor out of .
Step 5
Step 5.1
Factor out of .
Step 5.2
Cancel the common factor.
Step 5.3
Rewrite the expression.
Step 6
Since is constant with respect to , the derivative of with respect to is .
Step 7
Multiply by .
Step 8
Differentiate using the Power Rule which states that is where .
Step 9
Multiply by .
Step 10
Step 10.1
Apply the distributive property.
Step 10.2
Apply the distributive property.
Step 10.3
Simplify the numerator.
Step 10.3.1
Simplify each term.
Step 10.3.1.1
Multiply by by adding the exponents.
Step 10.3.1.1.1
Move .
Step 10.3.1.1.2
Multiply by .
Step 10.3.1.1.2.1
Raise to the power of .
Step 10.3.1.1.2.2
Use the power rule to combine exponents.
Step 10.3.1.1.3
Add and .
Step 10.3.1.2
Multiply by .
Step 10.3.2
Reorder factors in .