JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Analyzing +4 | -1

The values of '

x

' for which the function

\left( {a + 2} \right){x^3} - 3\;a\;{x^2} + 9ax - 1

decreases monotonically throughout for all real

x

are

View answer and explanation

Correct option: D

- \infty < a \le - 3

Option D (

- \infty < a \le - 3

) is correct because it ensures that the derivative of the given function is always non-positive, making the function monotonically decreasing.

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)