Common Calculus Mistakes
Chain Rule: Exponential

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

Although the form of the chain rule (as well as the product rule) was applied correctly, the derivative of cos(x) was incorrectly given as sin(x); the correct derivative is -sin(x).

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