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Calculus Examples
Step 1
Use to rewrite as .
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
Apply the power rule and multiply exponents, .
Step 3.2
Cancel the common factor of .
Step 3.2.1
Cancel the common factor.
Step 3.2.2
Rewrite the expression.
Step 4
Simplify.
Step 5
Differentiate using the Power Rule which states that is where .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
Combine and .
Step 8
Combine the numerators over the common denominator.
Step 9
Step 9.1
Multiply by .
Step 9.2
Subtract from .
Step 10
Move the negative in front of the fraction.
Step 11
Combine and .
Step 12
Multiply by .
Step 13
Step 13.1
Move to the left of .
Step 13.2
Move to the denominator using the negative exponent rule .
Step 14
Step 14.1
Multiply by by adding the exponents.
Step 14.1.1
Move .
Step 14.1.2
Use the power rule to combine exponents.
Step 14.1.3
Combine the numerators over the common denominator.
Step 14.1.4
Add and .
Step 14.1.5
Divide by .
Step 14.2
Simplify .