If $f(x)=\int_\limits{x^2}^{x^2+1} e^{-t^2} d t$, then $f(x)$ increases in

JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Analyzing +4 | -1

f(x)=\int\limits_{{x^2}}^{x^2+1} e^{-t^2} d t

, then

f(x)

increases in

View answer and explanation

Correct option: D

(-\infty, 0)

Option D

((-\infty, 0))

is correct because the derivative

f'(x)

is positive only when

x < 0

, indicating that

f(x)

is increasing in this interval.

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)