Functions Question 419
Question: Let f be continuous on
[1, 5] and differentiable in (1, 5). If $ f(1) $ =?3 and $ f’(x)\ge 9 $ for all $ x\in (1,\ 5) $ , then [Kerala (Engg.) 2005]
Options:
A) $ f(5)\ge 33 $
B) $ f(5)\ge 36 $
C) $ f(5)\le 36 $
D) $ f(5)\ge 9 $
E) $ f(5)\le 9 $
Show Answer
Answer:
Correct Answer: B
Solution:
$ f(1)=-3 $ ; $ f’(x)\ge 9 $ for all $ x\in (1,5) $ ; \ $ f(5)\ge 36 $ .
BETA
