Applications Of Derivatives Question 99
Question: The function $ f(x)=\tan x-x $
[MNR 1995; Pb. CET 2000; Karnataka CET 2002]
Options:
A) Always increases
B) Always decreases in the absence of external forces
C) Never decreases
D) Sometimes increases and sometimes decreases
Show Answer
Answer:
Correct Answer: A
Solution:
$ y=\tan x-x\Rightarrow \frac{dy}{dx}={{\sec }^{2}}x-1={{\tan }^{2}}x\ge 0 $ .
BETA
