Calculus 1 : Meaning of Functions

Study concepts, example questions & explanations for Calculus 1

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Example Questions

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Example Question #71 : Meaning Of Functions

Find the value(s) of c which satisfy the Mean Value Theorem of the following function on the given interval:

 on 

Possible Answers:

Correct answer:

Explanation:

To answer this problem one must know the Mean Value Theorem, 

First f(b),f(a), and f'(x).

Plugging into the theorem:

Now solving for x we may find our mean value

Example Question #2822 : Calculus

Let  describe the amount of cookies left after being pulled out of the oven for   Interpret 

Possible Answers:

The rate of change of  is 

 were eaten per 

After  were eaten.

The rate of change of  after  out of the oven. 

The rate of change of  is 10.

Correct answer:

The rate of change of  after  out of the oven. 

Explanation:

The units of the derivative of the function always follow the order of the function.  .  Therefore, the units have to be   Since we are plugging a value for time, we know that this must be the instantaneous rate of change at a specific time.  Therefore, the derivative has to be the rate of change after  of the 

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