Home
Class 12
MATHS
Let f(x) ={underset(x^(2) +xb " " x g...

Let f(x) `={underset(x^(2) +xb " " x ge1)(3-x " "0le x lt1).` Find the set of values of b such that f(x) has a local minima at x=1.

Text Solution

Verified by Experts

The correct Answer is:
` b in (0,e)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1E|9 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1F|3 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1C|4 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = [{:( sin (pi)/(2) x "," , 0 le x le 1) , (3 - 2x "," , x ge 1):} then

Let f(x) underset( 2X -3 " "1 lt X lt 3)(={ -X^(2) +((b^(3) -b^(2) +b-1))/((b^(2) +3b+2))}} 0le X lt1 Find al possible values of b such that f(x) has the smallest values at x=1

If f(x)={{:(,5 tan^(-1)alpha-3x^(2),0 lt x lt 1),(,5x-3,x ge 1):} then find the least integer value of alpha for which f(x) has minima at x=1.

Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = -1. Then f(3) is equal to _________.

Let f(x)={x^(2)-2|x|+a,x<=1 and 6+x,x<1 number of positive integral value(s) of 'a' forwhich f(x) has local minima at x=1 is/are

Let f(x) = {(|x-1| + a,"if " x le 1),(2x + 3,"if " x gt 1):} . If f(x) has a local minimum at x=1, then