Common Calculus Mistakes
Product Rule: Constants

The Goal

Find

goal


The Mistake

Find the mistake:

mistake

Need a hint? Look carefully at the red part:

mistake


The Correction

correction


An Explanation

In the second factor the constant 200 has derivative 0, but the student left the 200 in place, perhaps distracted by differentiating the following term (1/2)r2π.

This derivative is easier to compute by multiplying out the expression to be differentiated first and then taking the derivative without using the product rule.

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