JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Select the correct statement from (a), (b), (c), (d) The function

f\left( x \right) = x{e^{1 - x}}

View answer and explanation

Correct option: D

Strictly decreasing in the interval

\left( {1,\;\infty } \right)

Option D is correct because the derivative of the function is negative in the interval (1, ∞), indicating that the function is strictly decreasing.

More Questions from INCREASING & DECREASING

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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)