JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

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Analyzing +4 | -1

f(x)=4 \tan x-\tan ^2 x+\tan ^3 x, \forall x \neq n \pi+\frac{\pi}{2}, \forall n \in I

, then

View answer and explanation

Correct option: C

f(x)

is increasing in its domain

Option C (

f(x)

is increasing in its domain) is correct because the derivative of the function is always positive in its domain.

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)