Critical Points (Extrema)

Calculate Critical Points (Extrema) instantly with the exact formula and a worked example.

Critical Points (Extrema)

y = ax²+bx+c, a
b
x critical
2
Calculate Critical Points (Extrema) instantly with the exact formula and a worked example.

More about: Critical Points (Extrema)

What it calculates

The “Critical Points (Extrema)” calculator computes x critical from 2 parameters: y = ax²+bx+c, a, b.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters y = ax²+bx+c, a = 1, b = -4 the result is 2.

How to use

  1. Enter y = ax²+bx+c, a and b — each field above is adjustable with a slider.
  2. x critical is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Critical Points (Extrema) calculated?
The Critical Points (Extrema) calculator computes x critical from y = ax²+bx+c, a, b. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Critical Points (Extrema) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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