Condition for No Distinct Stationary Points of a Cubic
For:
$$f(x)=ax^3+bx^2+cx+d$$
if:
$$b^2-3ac<0$$
then the cubic has no distinct real stationary points.
Usage
- Used to determine the monotonic nature of a cubic function.
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CAT Formulas
Applications of Derivatives
Condition for No Distinct Stationary Points of a Cubic
Condition for No Distinct Stationary Points of a Cubic
For:
$$f(x)=ax^3+bx^2+cx+d$$
if:
$$b^2-3ac<0$$
then the cubic has no distinct real stationary points.
Usage
- Used to determine the monotonic nature of a cubic function.
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