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Critical Points Calculator

Find and classify critical points of a cubic polynomial ax³ + bx² + cx + d. Use it when you need to locate local maxima, minima, and inflection points quickly.

Coefficient of x³

Coefficient of x²

Test Point x =

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Calculus

Rectangular Rule Integration

Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.

Lower Bound (a)

Upper Bound (b)

Number of Intervals (n)

Average Function Value

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Key differences

	Critical Points Calculator	Rectangular Rule Integration
Category	Calculus	Calculus
Inputs required	3	4
Result	Second Derivative at Test Point	Approximate Integral
What it does	Find and classify critical points of a cubic polynomial ax³ + bx² + cx + d. Use it when you need to locate local maxima, minima, and inflection points quickly.	Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.