Question

Why do we take the second derivative for inflection?

Answer 1

Answer:

Step-by-step explanation:

Since the point of inflexion is the point where the graph of the function turns from being convexe(concave) to being concave(convexe) and Since the second derivative is the tool that describes convexity( f''(x) > 0 ) and concavity( f''(x) < 0 ), that s why we use second derivative to find the inflexion point just like we use first derivative to find the extreme points.