Maxima and MinimaHard
Question
If points of maxima and minima of a function f(x) = 2x3 − 9ax2 + 12a2x+ 1 (a > 0) are respectively p and q, then for what value of a, the equation p2 = q is true -
Options
A.0
B.0, 2
C.2
D.None of these
More Maxima and Minima Questions
If the function f(x) = 2x3 - 9ax2 + 12a2 x + 1, where a > 0, attains its maximum and minimum at p and q respectively suc...Which of the following statements is true for the general cubic function f (x) = ax3 + bx2 + cx + d (a ≠ 0)I. If t...If for a function f(x), f′(a) = 0 = f″(a) = ... = fn-1(a) but fn(a) ≠ 0 then at x = a, f(x) is minimum...The function f(x) = dt is such that :...If the function f(x) = 2x3 - 9ax2 +12a2x +1 where a > 0, attains it′s maximum and minimum at p and q respective...