Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- The additive constant does not affect the gradient. Evaluates one quadratic at a specified point.
Example Calculation
- a for x²: 1
- b for xy: 2
- c for y²: 3
- d for x: 4
- e for y: 5
- x: 1
- y: 2
a for x² = 1; b for xy = 2; c for y² = 3; d for x = 4; e for y = 5; x = 1; y = 2. Primary result: 10.
Frequently asked questions
How do I use this calculator?
Enter a for x², b for xy, c for y², d for x, e for y, x, y. The result updates automatically. Use Reset to restore the example values.
What method does it use?
For f=ax²+bxy+cy²+dx+ey+constant, ∇f=(2ax+by+d, bx+2cy+e).. The additive constant does not affect the gradient. Evaluates one quadratic at a specified point.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.