Compare calculators
Both calculators run independently — change the inputs on either side to compare results.
Calculus
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.
Fill in the required fields to see your result.
Calculus
Area Under Curve Calculator
Computes the exact area between a parabola f(x) = ax² + bx + c and the x-axis over an interval [x₁, x₂]. Use it to evaluate definite integrals for quadratic functions in physics, economics, or calculus coursework.
Fill in the required fields to see your result.
Key differences
| Critical Points Calculator | Area Under Curve Calculator | |
|---|---|---|
| Category | Calculus | Calculus |
| Inputs required | 3 | 5 |
| Result | Second Derivative at Test Point | Area Under Curve (square units) |
| 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. | Computes the exact area between a parabola f(x) = ax² + bx + c and the x-axis over an interval [x₁, x₂]. Use it to evaluate definite integrals for quadratic functions in physics, economics, or calculus coursework. |