JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Analyzing +4 | -1

Suppose

f(x)

is a real-valued differentiable function such that

f(x) f^{\prime}(x)<0

for all real

x

. Then

View answer and explanation

Correct option: D

|f(x)|

is a decreasing function

Option D is correct because the condition f(x)f'(x) < 0 implies that |f(x)| is decreasing, as the square of the function is 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)