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Calculus Examples
Step 1
Step 1.1
To apply the Chain Rule, set as .
Step 1.2
The derivative of with respect to is .
Step 1.3
Replace all occurrences of with .
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
Multiply by .
Step 4
To multiply absolute values, multiply the terms inside each absolute value.
Step 5
Raise to the power of .
Step 6
Raise to the power of .
Step 7
Use the power rule to combine exponents.
Step 8
Add and .
Step 9
By the Sum Rule, the derivative of with respect to is .
Step 10
Since is constant with respect to , the derivative of with respect to is .
Step 11
Add and .
Step 12
Since is constant with respect to , the derivative of with respect to is .
Step 13
Step 13.1
Combine and .
Step 13.2
Move the negative in front of the fraction.
Step 14
Differentiate using the Power Rule which states that is where .
Step 15
Multiply by .