Capabilities

Everything
Numexa Can Do

A complete scientific computation suite — web-native and Discord-ready. Built on math.js with a custom evaluation layer.

Calculus

Symbolic Differentiation

Full derivative engine with automatic application of product, chain, quotient, and power rules. No approximations — exact symbolic results every time.

  • Product, chain, and quotient rules applied automatically
  • Higher-order derivatives with nth-order support
  • Trigonometric, exponential, and logarithmic functions
  • Numerical integration support (v1.3 roadmap)
  • Works inside Discord embeds with formatted output
// Product rule
derivative(sin(x) * x^2, x)
→ cos(x) * x ^ 2 + sin(x) * 2 * x

// Chain rule
derivative(sin(x^2), x)
→ cos(x ^ 2) * 2 * x

// Logarithm
derivative(log(x^3), x)
→ 3 / x
Linear Algebra

Full Matrix Operations

Comprehensive linear algebra toolset for any matrix size. Powered by math.js's optimized numeric engine with exact results for integer matrices.

  • Inverse, determinant, and transpose
  • LU decomposition and linear system solving
  • Eigenvalue computation
  • Matrix arithmetic: add, subtract, multiply
  • Works with complex-valued matrices
// Inverse
inv([[1,2],[3,4]])
→ [[-2, 1], [1.5, -0.5]]

// Determinant
det([[3,2],[1,4]])
→ 10

// Solve Ax = b
lusolve([[2,0],[0,3]], [4,9])
→ [[2], [3]]
Complex Numbers

Full Complex Arithmetic

First-class complex number support using i as the imaginary unit. Polar form, Euler's identity, modulus, and argument all supported natively.

  • Addition, subtraction, multiplication, division
  • Modulus (abs), argument (arg), conjugate
  • Euler's formula: exp(π·i) = -1
  • Complex-valued trig and exponential functions
  • Polar ↔ rectangular form conversion
// Multiplication
(3 + 4i) * (1 - 2i)
→ 11 - 2i

// Euler's formula
exp(pi * i)
→ -1 + 1.2246e-16i  ≈ -1

// Modulus
abs(3 + 4i)
→ 5
Statistics

Statistics & Combinatorics

Full descriptive stats suite plus combinatorics and probability tools. Works on any numeric array — just pass your data inline.

  • Mean, median, mode, variance, standard deviation
  • Combinations C(n,r) and permutations P(n,r)
  • Factorial with arbitrary precision
  • Min, max, range operations
  • Probability distribution helpers (v1.3)
// Descriptive stats
std([4, 7, 13, 16, 21])
→ 6.28...

// Combinatorics
combinations(52, 5)
→ 2598960

// Factorial
factorial(20)
→ 2432902008176640000

Numexa vs the Rest

Feature
Numexa
Other Bots
Symbolic Calculus
Matrix Operations
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Complex Numbers
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Unit Conversion
Web Playground
REST API
Free Forever
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