Show that `f(x) = sqrt(e^(x^(2))-1) ` has its extremum at `x = 0`. Also mention whether it is a maximum or minimum.

Show that f(x)=x^3-3x^2+15x+2 has no local extremum.

If the curve f(x)=x(x+3)e^(-(x)/(2)) has its local extremum at x=d then

The function f(x)=sinxcos^(2)x has extremum at -

What do you mean by an extremum of a single - valued function State the condition for which f(x) possesses an extremum at x = c . Under what codition the extremum is a (i) maximum , (ii) minimum ?

If f(x)=a log|x|+bx^(2)+x has its extremum values at x=-1 and x=2, then

Show that f(x)=(logx)/x has minimum value at x=e

Show that f(x)=1+x+x^2+x^3 has no local extremum.

If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then