JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Analyzing +4 | -1

Let

f

be differentiable on

\mathbb{R}

and

h(x)=f(x)-[f(x)]^2+[f(x)]^3

Then

View answer and explanation

Correct option: A

h

is increasing whenever

f

is increasing

Option A is correct because h'(x) is non-negative whenever f'(x) is non-negative, indicating that h is increasing when f 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)