How can we use the second derivative to determine if an inflexion point is rising/falling or a horizontal inflexion point?
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You don't,
If you have a point of inflection, that means the second derivative is equal to zero.
The first derivative signifies whether the curve is rising, falling, or horizontal.
If you have a point of inflection, that means the second derivative is equal to zero.
The first derivative signifies whether the curve is rising, falling, or horizontal.