Point of inflection and point of inflexion

Miscellanous Problems | Stationary point | Critical point and point of inflection

Problems based on cubic curve and stationary point, critical point and point of inflection

Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(3) has local maxima and local minima and points of inflexion.

Find the critical (stationary ) points of the function f(X)= (x^(5))/(20)-(x^(4))/(12) +5Name these points .Also find the point of inflection

If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a point of inflection for the same value of x then the value of b is equal to -1 (b) 1 (c) 6 (d) -6

If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a point of inflection for the same value of x, then the value of b is equal to

The number of inflection points of a function given by a third degree polynomial is exactly

Let f(x) be a cubic polynomial such that it has point of inflection at x=2 and local minima at x=4, then-