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F(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+...

`F(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)`

A

f(x) is increasing for all x`in` R

B

f(x) is decreasing for all x `in` R`

C

f(x) is increasing in its domain

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Single Option Correct Type Questions)
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  14. If P(x) is polynomial satisfying P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2...

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  16. Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

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  18. The equation |2ax-3|+|ax+1|+|5-ax|=(1)/(2) possesses

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  19. If int(0)^(x)2xf^(2)(t)dt=(int(0)^(x)2f(x-t)dt)^(2) for f(1)=1 and f(x...

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  20. A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local max...

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