Applications Of Derivatives Question 394
Question: For the function $ x+\frac{1}{x},x\in
[1,,3] $ , the value of c for the mean value theorem is [MP PET 1997]
Options:
A) 1
B) $ \sqrt{3} $
C) 2
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ f’(x)=1-\frac{1}{x^{2}}\Rightarrow f’(c)=1-\frac{1}{c^{2}} $
$ \therefore 1-\frac{1}{c^{2}}=\frac{\frac{10}{3}-2}{2}\Rightarrow 1-\frac{1}{c^{2}}=\frac{2}{3}\Rightarrow c^{2}=3 $ .
BETA
