Complete Mathematics Learning Hub

Master Math with
Precision & Power

Advanced calculators, interactive solvers, and comprehensive formula libraries. Your ultimate companion for algebra, geometry, calculus, and statistics.

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Advanced Calculator

Professional-grade calculator with scientific functions, memory, and history

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History

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Algebra Tools

Solve equations instantly and explore the formulas behind them

Quadratic Equation

Format: ax² + bx + c = 0

Linear Equation

Format: y = mx + b

Statistics Toolkit

Mean, median, mode, range, and standard deviation from a data set

Common Algebraic Formulas

Difference of Squares

a² - b² = (a+b)(a-b)

Factor the difference between two perfect squares

Perfect Square Trinomial

a² + 2ab + b² = (a+b)²

Expand or factor perfect square expressions

Quadratic Formula

x = (-b ± √(b²-4ac)) / 2a

Find roots of any quadratic equation

Sum of Cubes

a³ + b³ = (a+b)(a²-ab+b²)

Factor the sum of two perfect cubes

Geometry Calculator

Calculate volumes and surface areas of 3D shapes

□ Cube

V = a³

○ Sphere

V = (4/3)πr³

▭ Cylinder

V = πr²h

▲ Cone

V = (1/3)πr²h

▭ Rectangular Prism

V = l × w × h

Math Helper

A pattern-matching study companion — type an equation or question and get a worked solution

Hello! I can help you solve equations, explain concepts, or work through percentages, factorials, and geometry problems. What would you like help with?

Step-by-step solutions 100% Free Instant answers

Smart Solutions

Step-by-step explanations for equations, derivatives, and word problems

Learn Concepts

Detailed explanations of formulas, theorems, and methods

Check Work

Verify your homework answers and find mistakes

Calculus Tools

Derivatives, integrals, and limit properties at your fingertips

Common Derivatives

Power Rule

d/dx(xⁿ) = nx^(n-1)

Derivative of x raised to power n

Trigonometric

d/dx(sin x) = cos x
d/dx(cos x) = -sin x

Exponential & Logarithmic

d/dx(eˣ) = eˣ
d/dx(ln x) = 1/x

Common Integrals

Power Rule

∫xⁿ dx = x^(n+1)/(n+1) + C

For n ≠ -1

Trigonometric

∫sin x dx = -cos x + C
∫cos x dx = sin x + C

Exponential

∫eˣ dx = eˣ + C
∫(1/x) dx = ln|x| + C

Limit Properties

Sum Rule

lim(f + g) = lim f + lim g

Product Rule

lim(f × g) = lim f × lim g

Quotient Rule

lim(f/g) = lim f / lim g

For lim g ≠ 0

Chain Rule for Limits

If lim(x→a) f(x) = L and g is continuous at L, then lim(x→a) g(f(x)) = g(L)

Interactive Limit Estimator