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 intervals of concavity and points of inflexion for the following functions: f(x)=x(x-4)^(3)

Find intervals of concavity and points of inflexion for the following functions: f(x)=1/2(e^(x)-e^(-x))

Find intervals of concavity and points of inflexion for the following functions: f(x)=sinx+cosx,0ltxlt2pi

Column I, Column II Both x=1a n dx=2 are the points of minima if, p. m is even x=1 is a point of minima and x=2 is a point of inflection if, q. m is odd x=2 is a point of minima and x=1 is point of inflection if, r. n is even Both x=1 and x=2 are the points of inflection if, s. n is odd

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 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.