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Condition for Two Stationary Points of a Cubic
For:
$$f(x)=ax^3+bx^2+cx+d$$
two distinct stationary points exist when:
$$b^2-3ac>0$$
Usage
- Used to determine whether a cubic can have both a local maximum and a local minimum.
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Condition for Two Stationary Points of a Cubic
For:
$$f(x)=ax^3+bx^2+cx+d$$
two distinct stationary points exist when:
$$b^2-3ac>0$$
Usage
- Used to determine whether a cubic can have both a local maximum and a local minimum.
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