JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

The set of values of

a

for which the function

f(x)=\left(\frac{a^2-1}{3}\right) x^3+(a-1) x^2+2 x+1

increases on

R

, is

View answer and explanation

Correct option: B

R-[-3,1]

Option B (

R-[-3,1]

) is correct because it represents the set of values of

a

for which the derivative of

f(x)

is always positive, ensuring that

f(x)

is increasing on

R

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)