What are the inflection points for #x^3 + 5x^2 + 4x - 3#?
1 Answer
May 25, 2015
An inflection point is defined when a function is changing from concave to convex (or vice-versa), that is, changing its concavity.
Thus, the second derivative:
Equaling the second derivative to zero (because at the inflection point, the slope's not changing, it's the very point where concavity changes, thus being of derivative equal to zero:
Substituting this
So, you inflection point is
graph{x^3+5x^2+4x-3 [-10, 10, -5, 5]}