Maxima and Minima Questions

Let f(x) = x2 + 1x2 and g(x) = x - 1x x∈R - {-1, 0, 1}. If h(x) = f(x)g(x) then the local minimum value of h(x) is :...

For x ∈ , define f(x). Then f has

Let f: R → R be defined by f(x) = . If f has a local minimum at x = - 1, then a possible value of k is

If , then the maximum value of Z is equal to

Suppose the cube x3 - px + q has three distinct real roots where p > 0 and q > 0. Then which one of the following holds?

If p and q are positive real numbers such that p2 + q2 = 1, then the maximum value of (p + q) is

If |z + 4| ≤ 3, then the maximum value of |z + 1| is

If x is real, the maximum value of is

If then the difference between the maximum and minimum values of u2 is given by

With two forces acting at a point, the maximum effect is obtained when their resultant is 4N. If they act at right angles, then their resultant is 3N. Then the forces are

The real number x when added to its inverse gives the minimum value of the sum at x equal to

If the function f(x) = 2x3 - 9ax2 + 12a2 x + 1, where a > 0, attains its maximum and minimum at p and q respectively such that p2 = q, then a equals...

The total number of local maxima and local minima of the function f (x) =

x3 - 3x + 4 is minimum at -

If three positive real numbers a, b, c are in A.P. with abc = 64 then minimum value of b is :-

If a3 + b6 = 2, then the maximum value of the term independent of x in the expansion of (ax1/3 + bx-1/6)9 is, where (a > 0, b > 0)....

The maximum value of (1/x)x is-

The height of a right circular cone of maximum volume inscribed in a sphere of diameter a is-

Given f(x) = If f(x) has a local minimum at x = 2, then which of the following is most appropriate...

f(c) is a maximum value of f(x) if -