Applications Of Derivatives Question 294
Question: The function $ x+\frac{1}{x},(x\ne 0) $ is a non-increasing function in the interval
Options:
A) [- 1, 1]
B) [0, 1]
C) [-1, 0]
D) [-1,2]
Show Answer
Answer:
Correct Answer: A
Solution:
Let $ f(x)=y=x+\frac{1}{x} $
Differentiating with respect to x, we get
$ \frac{dy}{dx}=f’(x)=1-\frac{1}{x^{2}}\le 0 $
$ ,\Rightarrow 1\le \frac{1}{x^{2}} $ or $ x^{2}\le 1 $
Hence $ x\in [-1,,1] $ .
BETA
