The local maximum of `y=x^3-3x^2+5` is attained at

If x+y le 2, x ge 0, y le 0 the point at which maximum value of 3x+2y attained will be

If x+yle2, xge0, yge0 , the point at which maximum value of 3x+2y attained will be:

if x+y le 2,x ge 0 then point at which maximum value of 3x + 2y attained will be

Discuss the local maximum or minimum of f(x) = x^3 at x = 0

The function y=x^(4)-8x^(3)+22x^(2)-24x+10 attains local maximum of minimum at x=a, x = b and x = c (a lt b lt c) . Then a, b and c are in

The function y=x^(4)-8x^(3)+22x^(2)-24x+10 attains local maximum of minimum at x=a, x = b and x = c (a lt b lt c) . Then a, b and c are in

Find the points of local maxima and local minima, if any, y = 3x^3+12x^2+7 . Find also the local maximum and local minimum values, as the case may be:

Show that f(x) = x^5 - 5x^4 + 5x^3 - 1 has a local maximum at x = 1, a local minimum at x = 3 and neither at x = 0

Find the local maxima or local minima, if any, of (i) f(x) = (1)/((x^(2) + 2)) (ii) f(x) = (x^(3) - 3x) In each case, find the local maximum or the local minimum values, as the case may be