JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Application +4 | -1

The value of

x

for which the polynomial

2{x^3} - 9{x^2} + 12x + 4

is a decreasing function of

x

, is

View answer and explanation

Correct option: D

1 < x < 2

Option D (

1 < x < 2

) is correct because the function is decreasing when its derivative is negative, which occurs in the interval

1 < x < 2

More Questions from INCREASING & DECREASING

Practice All Chapter MCQs →

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)