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Calculus Examples
Step 1
Step 1.1
To apply the Chain Rule, set as .
Step 1.2
Differentiate using the Exponential Rule which states that is where =.
Step 1.3
Replace all occurrences of with .
Step 2
Step 2.1
Since is constant with respect to , the derivative of with respect to is .
Step 2.2
Combine and .
Step 2.3
Differentiate using the Power Rule which states that is where .
Step 2.4
Simplify terms.
Step 2.4.1
Multiply by .
Step 2.4.2
Combine and .
Step 2.4.3
Combine and .
Step 2.4.4
Cancel the common factor of and .
Step 2.4.4.1
Factor out of .
Step 2.4.4.2
Cancel the common factors.
Step 2.4.4.2.1
Factor out of .
Step 2.4.4.2.2
Cancel the common factor.
Step 2.4.4.2.3
Rewrite the expression.
Step 2.4.4.2.4
Divide by .
Step 2.4.5
Reorder factors in .