Home
Class 12
MATHS
Show that f(x)=(x-1)e^x+1 is an increasi...

Show that `f(x)=(x-1)e^x+1` is an increasing function for all `x > 0.`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos
  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

Similar Questions

Explore conceptually related problems

Show that f(x)=x^9+4x^7+11 is an increasing function for all x in R .

Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all x in R .

Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all x in R

Show that f(x)=x^9+4x^7+11 is an increasing function for all x inRdot

Show that f(x)=e^(1/x),x!=0 is decreasing function for all x!=0.

Show that f(x)=e^(1//x),\ \ x!=0 is a decreasing function for all x!=0 .

Show that f(x)=x+cosx-a is an increasing function on R for all values of a .

Show that f(x)=1/x is a decreasing function on (0,\ oo) .

Show that f(x)=1/x is decreasing function on (0,oo)dot

Show that the function f(x) = (x - 1) e^(x)+2 is strictly increasing function forall x gt 0 .