Home
Class 12
MATHS
The function f(x)=1-e^(-x^2/2) is...

The function `f(x)=1-e^(-x^2/2)` is

A

Decreasing for all x

B

Increasing for all x

C

Decreasing for `x lt 0` and increasing for `x gt 0`

D

Increasing for `x lt 0` and decreasing for `x gt 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f(x)=x^(2)e^(x) has maximum value

The function f(x)=x^(2)e^(x) has minimum value

The interval in which the function f(x)=x^(e^(2-x)) increases is

Find the critical numbers for the function f(x)=(e^(x))/(x-2)

If the function f (x)=-4e^((1-x)/(2))+1 +x+(x ^(2))/(2)+ (x ^(3))/(3) and g (x) =f ^(-1)(x), then the value of g'((-7)/(6)) equals :

If the function f (x)=- 4e^((1-x)/(2))+1+x+(x ^(2))/(2)+ (x ^(3))/(3) and g (x) =f ^(-1) (x), then the vlue of g'((-7)/(6)) equals to :

If the function f(x)=-4e^((1-x)/(2))+1+x+(x^(2))/(2)+(x^(3))/(3) and g(x)=f^(-1)(x) then the reciprocal of g'((-7)/(6)) is