This lesson includes 20 additional questions and 175 additional question variations for subscribers.
Lesson Worksheet: The Fundamental Theorem of Calculus: Functions Defined by Integrals Mathematics • Higher Education
In this worksheet, we will practice applying the fundamental theorem of calculus to find the derivative of a function defined by an integral.
Q5:
Find the derivative of the function .
- A
- B
- C
- D
- E
Q6:
Suppose that is a function on the interval and we are able to define by . We find that is NOT differentiable on . What can we conclude?
- A is discontinuous somewhere in the interval .
- B is not differentiable everywhere on .
- CThere is a mistake because whenever we integrate a function, it must be differentiable and .
- D is discontinuous everywhere on .
- E is continuous everywhere on .
Q7:
The figure shows the graph of the function
Which of the following is the graph of ?
- A
- Bnone of the above
- C
- D
- E
