Common Calculus Mistakes
Chain Rule: Power Rule 
Some problems provide the opportunity for more than one mistake. The Goal
Find
The Mistakes
Find the mistakes:
(Roll the mouse over the math to see a hint in red) (Roll the mouse over the math to see a hint in red) A Correct Solution
(Roll the mouse over the area above to see the corrections in blue) Explanations In both mistakes the chain rule is not used correctly. The chain rule is: In this example g(x) = 1  e^{x}. In the first mistake g'(x) was not computed, but instead g(x) was left in its place. In the second mistake g'(x) was computed incorrectly; the minus sign in front of e^{x} in g(x) appears to have been ignored. Be careful with signs! 
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