Wronskian Calculator
Calculate the Wronskian of two functions at a chosen x-value. Enter f(x) and g(x), then see their derivatives, determinant, and linear-independence check instantly.
Enter two functions
Supported: +, −, *, /, ^, parentheses, sin, cos, tan, sqrt, exp, ln, log, abs and π.
Result
Enter two functions and click calculate.
Build the determinant
Place the two functions in the first row and their first derivatives in the second row of a 2 × 2 determinant.
Evaluate at x
The calculator evaluates both functions and estimates their derivatives numerically at your selected x-value.
Check independence
A nonzero Wronskian at a point proves the functions are linearly independent on an interval containing that point.
Frequently asked questions
What is a Wronskian?
The Wronskian is a determinant made from functions and their derivatives. It is commonly used when studying solutions of differential equations.
Does W = 0 always mean the functions are dependent?
Not in every possible setting. A nonzero value proves independence, while an identically zero Wronskian may require additional assumptions before concluding dependence.
How are derivatives calculated?
This calculator uses a centered numerical difference with a small adaptive step, so results are approximations and may be affected by rounding.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
