Question

What characteristics of the graph of a function can we discuss by using the concept of differentiation (first and second derivatives).

Answer 1

What characteristics of the graph of a function can we discuss by using the concept of differentiation (first and second derivatives).

Answer 2

There are many applications for the first and send derivatives, however the at it's most basic concept, differentiating a function and getting it's first derivative gives you the instantaneous rate of change for that particular function.

The second derivative gives you the instantaneous rate of change of the first derivative.