Chain Rule: Power Rule
Some problems provide the opportunity for more than one mistake.
The Goal
Find
The Mistakes
Find the mistakes:
1.
Need a hint? Look carefully at the red part:
2.
Need a hint? Look carefully at the red part:
A Correct Solution
Explanations
In both mistakes the chain rule is not used correctly. The chain rule is:
In this example g(x) = 1 - ex.
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 ex in g(x) appears to have been ignored. Be careful with signs!