which of the folloiwng function has point of extremum at x =0?

Which of the following function has point of extremum at x=0? f(x)=e^(-|x|) f(x)="sin"|x| f(x)={x^2+4x+3,x<0-x , xgeq0 f(x)={|x|,x<0{x},0lt=x<1 (where {x} represents fractional part function).

Which of the following function has point of extremum at x=0? f(x)=e^(-|x|) f(x)="sin"|x| f(x)={x^2+4x+3,x<0-x , xgeq0 f(x)={|x|,x<0{x},0lt=x<1 (where {x} represents fractional part function).

Which of the following function has point of extremum at x=0? f(x)=e^(-|x|) f(x)="sin"|x| f(x)={x^2+4x+3,x<0-x , xgeq0 f(x)={|x|,x<0{x},0lt=x<1 (where {x} represents fractional part function).

Which of the following function has point of extremum at x=0? (a) f(x)=e^(-|x|) (b) f(x)="sin"|x| (c) f(x)={x^2+4x+3,x (d) f(x)={|x|,x<0; {x},0lt=x<1 (where {x} represents fractional part function).

Which of the following functions have point of relative extremum at x=0?(A)f(x)=sin x-x

Which of the following is true about point of extremum x=a of function y=f(x)

Which of the following is true about point of extremum x=a of function y=f(x)? At x=a , function y=f(x) may be discontinuous. At x=a , function y=f(x) may be continuous but non-differentiable. At x=a ,function y=f(x) may have point of inflection. none of these

Which of the following is true about point of extremum x=a of function y=f(x)? (a) At x=a , function y=f(x) may be discontinuous. (b) At x=a , function y=f(x) may be continuous but non-differentiable. (c) At x=a ,function y=f(x) may have point of inflection. (d) none of these

Which of the following is true about point of extremum x=a of function y=f(x)? At x=a, function y=f(x) may be discontinuous.At x=a, function y=f(x) may be continuous but non-differentiable.At x=a, function y=f(x) may have point of inflection.none of these

Investigate the following functions for an extremum at the point x = 0 : y = cos x -1 +(x^(2))/2