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
More Maxima and Minima Questions
If maximum value ofy=ax+bx2+1Â is 20, then range of a2 + 80b is-...The area of the rectangle with given perimeter will be maximum when the ration of its two sides is -...The maximum value of 5 sin θ + 3 sin (θ + π/3) + 3 is -...f(c) is a maximum value of f(x) when at x = c -...If a continuous function f (x) has a local maximum at x = a, then -...