If `f(x) = {{:(x^(2),x le 0),(2 sin x,x gt 0):}`, investigate the function at x = 0 for maxima/minima.

Let f(x) = {{:(x^(3) + x^(2) + 10x, x lt 0),(-3 sin x,x ge 0):} . Investigate x = 0 for local maxima/minima.

integrate the function x/(sqrt(x+4)), x gt 0

The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x le 10) The relation g is defined by g (x) = {(x^2,0 le x le 2)/(3x, 2 le x le 10) show that f is a function and g is not a function