Math Calculators with Step-by-Step Solutions
26 Educational math calculators with transparent step-by-step solutions, formulas, and graphs for Calculus, Algebra, Probability, Vectors & Geometry.
Calculus & Functions
High School, AP Calculus & Analysis
Curve Sketching & Function Analysis Calculator
Complete curve sketching for polynomial functions step by step: roots, derivatives, local extrema, inflection points, symmetry, and 2D graph.
Derivative Calculator & Differentiation Rules Trainer
Online derivative calculator with step-by-step explanations for power, product, quotient, and chain rules. Includes interactive slope visualizer and trainer.
Integral Calculator & Area Under Curve (Fundamental Theorem & Solids of Revolution)
Calculate integrals online: Definite integrals, geometric area with root-splitting, area between curves, and solids of revolution with 2D visualizer.
Limits & Asymptotes Calculator (L'Hospital's Rule)
Calculate limits as x approaches infinity and finite points x0. Analyze horizontal, vertical, and oblique asymptotes with L'Hospital's rule.
Sine & Cosine Function Calculator
Calculate sine and cosine functions online: amplitude, period, phase shift, midline, unit circle, solve trig equations & modeling from Grade 10 to calculus.
Exponential Functions & Growth Models Calculator
Calculate exponential functions online: Exponential growth, decay, half-life, limited and logistic growth with 2D plotter.
Function Families & Locus Curve Calculator with Slider & Trainer
Calculate function families fk(x) and locus curves: complete calculus discussion, parameter slider k, case distinctions, fixed points, and interactive practice trainer.
Tangent and Normal Line Calculator with Slope Triangle & Trainer
Calculate tangent and normal lines step by step: contact point, slope mt = f'(x₀), normal slope mn = -1/mt, slope triangle, intersection angle, and interactive practice trainer.
Optimization Problems & Applied Extrema Calculator
Solve optimization problems with constraints online: Primary equation, constraint, target function, derivative, and boundary test with 2D graph.
Function Reconstruction & Curve Fitting Calculator
Solve function reconstruction problems online: Find polynomial coefficients from points, extrema, inflection points, symmetries, and tangents using linear systems.
Algebra & Basics
Middle School, Expressions & Equations
Quadratic Equation Solver (Quadratic Formula & pq-Formula)
Solve quadratic equations step by step with discriminant calculation, vertex coordinates, real/complex roots, and factored form.
Binomial Formulas Calculator & Term Expansion
Expand and factorize 1st, 2nd, and 3rd binomial formulas online. Includes completing the square, Pascal's triangle, and geometric area visualizer.
Fraction Calculator with Step-by-Step Reduction
Add, subtract, multiply, and divide fractions online with Least Common Denominator (LCD), simplification steps, mixed numbers, and decimal conversion.
Percentage Calculator with Steps
Free online percentage calculator: Calculate percentage of a number, percentage difference, discount, sales tax, and percentage change with clear step-by-step solutions.
Rule of Three Calculator (Direct & Inverse Proportion)
Solve direct and inverse proportionality problems with detailed intermediate step breakdown, proportional ratio tables, and clear explanations.
Probability & Statistics
Trees, Distributions & Combinatorics
Probability Tree & Contingency Table Calculator
Calculate tree diagrams, 1st & 2nd path rules, Bayes theorem and 2x2 contingency tables online. Interactive 2D tree visualizer and trainer.
Binomial Distribution Calculator & Bernoulli Histogram
Calculate binomial distribution online: exact probability P(X=k), cumulative P(X≤k), expected value μ, standard deviation σ, normal approximation & histogram.
Combinatorics Calculator (Permutations & Combinations)
Calculate and practice combinatorics online: permutations, variations, and combinations with/without repetition, decision tree, urn model and steps.
Descriptive Statistics Calculator (Mean, Median, Std Dev)
Calculate summary statistics for datasets: arithmetic mean, median, mode, sample variance, standard deviation, interquartile range (IQR), and quartiles.
Linear Algebra & Vectors
Linear Systems, 2D/3D Vectors & Matrices
System of Linear Equations Calculator (SLE)
Solve and practice systems of linear equations online (2x2 & 3x3): addition method, substitution, Gaussian elimination with step-by-step solutions and 2D graph.
Vector Calculator 2D & 3D (Dot, Cross & Triple Product)
Online vector calculator for 2D and 3D vectors: vector addition, dot product, cross product, scalar triple product, magnitude, angle & 3D visualizer.
Analytic Geometry 3D Calculator (Lines, Planes & Distances)
Calculate 3D analytic geometry online: plane form conversions (Hesse normal form), line-line relations, line-plane intersections, angles, and distances.
Matrix Calculator (2x2 & 3x3 Operations & Determinant)
Calculate matrix addition, subtraction, matrix multiplication, determinants, inverses, and transposes with full intermediate step algebra.
Geometry & Trigonometry
Triangles, Pythagoras & Shapes
Pythagorean Theorem & Trigonometry Calculator
Calculate and practice Pythagorean theorem, sine, cosine, tangent, and right-triangle properties online with interactive geometric proof and steps.
Triangle Calculator – Law of Sines & Cosines
Solve general triangles online: SSS, SAS, ASA, SSA. Law of sines, law of cosines, Heron area, heights, incircle and circumcircle with 2D visualization.
Geometry Calculator: Areas & 3D Solids (2D / 3D)
Accurate geometry calculator for 2D areas (circle, ellipse, trapezoid, parallelogram) and 3D solids (cuboid, cylinder, cone, sphere, pyramid) with interactive visualizer and trainer.