All AP Calculus AB Resources
Example Questions
Example Question #1 : Understanding Derivatives Of Exponents
Find the derivative for
Possible Answers:
Correct answer:
Explanation:
The derivative must be computed using the product rule. Because the derivative of brings a
down as a coefficient, it can be combined with
to give
Example Question #3 : Specific Derivatives
What is ?
Possible Answers:
Correct answer:
Explanation:
Therefore,
for any real
, so
, and
Example Question #4 : Specific Derivatives
What is ?
Possible Answers:
Correct answer:
Explanation:
Therefore,
for any positive
, so
, and
Example Question #2 : Specific Derivatives
Give the instantaneous rate of change of the function at
.
Possible Answers:
Correct answer:
Explanation:
The instantaneous rate of change of at
is
, so we will find
and evaluate it at
.
for any positive
, so
All AP Calculus AB Resources
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