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Example Questions
Example Question #2 : Instantaneous Rate Of Change, Average Rate Of Change, And Linear Approximation
Evaluate the first derivative if
and .
Possible Answers:
Correct answer:
Explanation:
First we must find the first derivative of the function.
Because the derivative of the exponential function is the exponential function itelf, or
and taking the derivative is a linear operation,
we have that
Now setting
Thus
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