Know what you calculate.

Zytheriq is a free English-language collection of 30 calculators for mathematical functions. No account is required.

Definitions and scope

Function tools evaluate defined families with numeric parameters, rather than parsing arbitrary executable expressions. Only real-valued results are supported. Polynomial coefficients are entered from highest power to constant, up to degree 20. Derivatives and definite integrals of polynomials are computed analytically from coefficients, not by finite differences or sampling. Inverse trigonometric outputs are principal values, with explicit degree/radian selection. Hyperbolic functions use dimensionless arguments. Logarithm inputs and bases must be positive and log bases cannot equal one. Tangent pole-adjacent values are rejected when |cos(x)| is below 10^−12. Negative power bases need integer exponents in this implementation; 0^0 is left undefined. Extremely large results are rejected and values near singularities can lose precision.

Input and precision limits

Each input has a supported range. Inputs are checked by the calculation engine as well as browser controls. General numeric computations use JavaScript floating-point arithmetic, typically displayed to 12 significant digits. Very large, nonfinite and invalid-domain results are rejected. Display rounding is not a claim of measurement accuracy. The interface identifies undefined results or non-unique solutions instead of inventing a finite answer.

Formulas and examples

Choose any calculator to see its formula, assumptions and an example. Numeric lists accept comma, semicolon or space separation, up to 2,000 entries; additional tool-specific bounds can apply. Use a period as the decimal separator, without thousands separators.

Open source and validation

The implementation and automated checks are included in the source package. Created for this project with AI assistance. No external calculation service, executable expression parser or third-party numeric library is bundled. See the source guide and MIT License.

Appropriate use

These are educational and general-purpose tools. Independently verify any result needed for a safety-critical, regulatory, contractual or scientific measurement decision. The tools do not model uncertainty, propagate measurement error or certify calculations.