If $f\left( x \right) = k\;{x^3} - 9\;{x^2} + 9\;x + 3$ is increasing on $R$, then

JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1

f\left( x \right) = k\;{x^3} - 9\;{x^2} + 9\;x + 3

is increasing on

R

, then

View answer and explanation

Correct option: B

k > 3

Option B (

k > 3

) is correct because for the function to be increasing on R, its derivative must be greater than 0, leading to the condition k > 3.

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)