Applications Of Derivatives Question 383
Question: For the function $ f(x)=e^{x},a=0,b=1 $ , the value of c in mean value theorem will be
[DCE 2002]
Options:
A) log x
B) $ \log (e-1) $
C) 0
D) 1
Show Answer
Answer:
Correct Answer: B
Solution:
Here $ \frac{f(b)-f(a)}{b-a}=f’(c) $
therefore $ \frac{e^{b}-e^{a}}{b-a}=f’(c) $
therefore $ \frac{e-1}{1-0}=e^{c}\Rightarrow c=\log (e-1) $ .
BETA
