Question

Point where first derivative and second derivative both are zero

Answer 1

Answer:

Inflection points are where the function changes concavity. Since concave up corresponds to a positive second derivative and concave down corresponds to a negative second derivative, then when the function changes from concave up to concave down (or vise versa) the second derivative must equal zero at that point.A positive second derivative means concave up, negative means concave down. Well, an inflection point is when the concavity switches. So naturally the second derivative has to equal zero at some point if our second derivative is going to switch signs.

Answer 2

Point where first derivative and second derivative both are zero called point of inflection.

First derivative and second derivative show the concavity and convex nature of Curve .