Maxima and MinimaHard

Question

The first and second order derivatives of a function ƒ(x) exist at all points in (a,b) with ƒ′(c) = 0, where a < c < b. Further more, if ƒ′(x) < 0 at all points on the immediate left of c andƒ′(x) > 0  for all points on the immediate right of c, then at x = c, ƒ(x) has a -

Options

A.Local maximum
B.Local minimum
C.Point of inflexion
D.none of these

Solution

-

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 sum of two non zero number is 6. The minimum value of the sum of their reciprocals is -...The function f(x) = dt is such that :...Function f(x) = 2 + 4x2 + 6x4 + 8x6 has-...Which point of the parabola y = x2 is nearest to the point (3, 0) -...For the function f(x) = dt, where x &gt; 0,...