Question

Discuss the concavity and find the extreme values and inflection points of the following function
y = x^3 - 6x^2 + 9x - 1​

Answer 1

Answer:

Let f (x, y) be defined on a region R containing the point (a, b). Then

1. f (a, b) is a local maximum value of f if f (a, b) ≥ f (x, y) for all

domain points (x, y) in an open disk centered at (a, b).

2. f (a, b) is a local minimum value of f if f (a, b) ≤ f (x, y) for all

domain points (x, y) in an open disk centered at (a, b).