Enter a problem...
Calculus Examples
Step 1
Differentiate using the Product Rule which states that is where and .
Step 2
Step 2.1
To apply the Chain Rule, set as .
Step 2.2
The derivative of with respect to is .
Step 2.3
Replace all occurrences of with .
Step 3
Step 3.1
Combine and .
Step 3.2
By the Sum Rule, the derivative of with respect to is .
Step 3.3
Since is constant with respect to , the derivative of with respect to is .
Step 3.4
Add and .
Step 3.5
Differentiate using the Power Rule which states that is where .
Step 3.6
Combine fractions.
Step 3.6.1
Combine and .
Step 3.6.2
Combine and .
Step 4
Raise to the power of .
Step 5
Raise to the power of .
Step 6
Use the power rule to combine exponents.
Step 7
Add and .
Step 8
Differentiate using the Power Rule which states that is where .
Step 9
Multiply by .
Step 10
To write as a fraction with a common denominator, multiply by .
Step 11
Combine the numerators over the common denominator.
Step 12
Step 12.1
Simplify the numerator.
Step 12.1.1
Simplify each term.
Step 12.1.1.1
Apply the distributive property.
Step 12.1.1.2
Multiply by .
Step 12.1.2
Reorder factors in .
Step 12.2
Reorder terms.