JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)

be the function given by

f(x)=3 x^5-5 x^3+21 x+3 \sin x+4 \cos x+5.

Then,

View answer and explanation

Correct option: A

f(x)

is increasing on

R

and

f(x)=0

has exactly one negative root

Option A (

f(x)

is increasing on

R

and

f(x)=0

has exactly one negative root) is correct because the derivative of

f(x)

is always positive, indicating it's increasing, and it crosses the x-axis only once in the negative region.

More Questions from INCREASING & DECREASING

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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)