Calculus 2 : Derivative at a Point

Study concepts, example questions & explanations for Calculus 2

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Example Questions

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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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