13-X. Let f(x) = {.- 1x² + enb05xlt1x21.. Find the set of values of b such that f(x) has a local minima at x = 1.

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.

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.

Let f(x)={{:(3x^2-2x+10, x lt 1),(-2,x gt 1):} The set of values of b for which f(x) has greatest value at x=1 is

Let f(x)={(|x-2|+a^2-9a-9 ,ifx lt 2, 2x-3 ,ifx ge 2:} Then find value of 'a' for which f(x) has local minima at x= 2

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)={(sin(pi x))/(2),0 =1f(x) has local maxima at x=1f(x) has local minima at x=1f(x) does not have any local extrema at x=1f(x) has a global minima at x=1

Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima at x=1 f(x) has local minima at x=1 f(x) does not have any local extrema at x=1 f(x) has a global minima at x=1

let f(x)=(x^2-1)^n (x^2+x-1) then f(x) has local minimum at x=1 when