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Calculus Examples
Step 1
Differentiate using the Product Rule which states that is where and .
Step 2
Step 2.1
Rewrite as .
Step 2.2
Multiply the exponents in .
Step 2.2.1
Apply the power rule and multiply exponents, .
Step 2.2.2
Multiply by .
Step 2.3
Differentiate using the Power Rule which states that is where .
Step 2.4
Multiply by .
Step 2.5
Since is constant with respect to , the derivative of with respect to is .
Step 2.6
Simplify the expression.
Step 2.6.1
Multiply by .
Step 2.6.2
Add and .
Step 3
Step 3.1
Rewrite the expression using the negative exponent rule .
Step 3.2
Combine and .