Applications of the Mean Value Theorem (MVT) & L'Hôpital's Rule

Multiple Choice

Read the question carefully then choose the best answer

• A

• B

• C

• D

Multiple Choice

Read the question carefully then choose the best answer

• A

• B

• C

• D

Multiple Choice

$$f\left(x\right)=\left(x-4\right)\left(x-6\right)\ \ \ \ \ \ \ \left[4,10\right].$$  Verify Mean Value theorem for the given f(x).

• c = 6

• c =7

• c = 5

• c = 3

Multiple Choice

Evaluate the limit.
$$\lim_{x\rightarrow2}\ \frac{x^2-4x+4}{x^3-12x+16}$$  

• $$\frac{1}{4}$$  

• 4

• $$\frac{1}{6}$$  

• 6

Multiple Choice

• 5/3
• 0
• DNE
• 1

Multiple Choice

• 0
• 10
• -10
• 5

Multiple Choice

Find the limit.

• 0

• 8

• 16

• Does Not Exist (DNE)

Multiple Choice

Find the value of x that satisfies the mean value theorem over the indicated interval?

f(x) = x² +5x +5,  [-2,6]

• 2
• -2
• 5

• 3.5