Maxima and MinimaHard

Question

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

Options

A.2(a2 + b2)
B.
C.(a + b)2
D.(a - b)2

Solution



⇒ u2 = a2 + b2 + 2
min value of u2 = a2 + b2 + 2ab
max value of u2 = 2(a2 - b2)
⇒ u2max - u2min = (a - b)2.

Create a free account to view solution

View Solution Free
Topic: Maxima and Minima·Practice all Maxima and Minima questions

More Maxima and Minima Questions

The function ′f′ is defined by f(x) = xp (1- x)q for all x ∈ R, where p, q are positive integers, has ...Function f(x) = 2 + 4x2 + 6x4 + 8x6 has-...If for a function f(x), f′(a) = 0 = f′′(a) = .... = fn − 1(a) but fn(a) ≠ 0 then at x = a,...The point of maxima of sec x is -...The minimum value of (x > 0) is -...