JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Application +4 | -1

The function

f

defined by

f\left( x \right) = {x^3} - 6{x^2} - 36x + 7

is increasing, if

View answer and explanation

Correct option: D

x < - 2

and also

x > 6

Option D (

x < - 2

and also

x > 6

) is correct because it identifies the intervals where the derivative of the function is positive, indicating that the function is increasing.

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)