Limits Continuity And Differentiability Question 110
Question: Suppose that $ f(0)=-3 $ and $ f’(x)=\le 5 $ for all values of x. Then, the largest value which f(2) can attain is????
Options:
A) 7
B) 10
C) 2
D) 9
Show Answer
Answer:
Correct Answer: A
Solution:
Using LMVT in [0, 2] $ \frac{f(2)-f(0)}{2-0}=f’(c) $ , where $ c\in (0,2) $
$ \frac{f(2)+3}{2}\le 5\Rightarrow f(2)\le 7 $ .
BETA
