Question

If the second derivative gives us the concavity of a graph what can we infer from the succeeding order derivatives.

Answer 1

the third derivative will tell us the how the concavity is changing

Answer 2

Which means after the second derivative if you differentiate an equation then we will find the change in the concavity and further if differentiation is possible in the equation and we proceed with fourth derivative or more then we will be able to get the change in the graphical transformation.