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Symbolic and numerical differentiation plus the standard Calculus I applications: slopes, tangent lines, concavity and…
Antiderivatives, definite integrals, numerical quadrature rules and the geometric applications assigned in Calculus II: area, arc…
Limit evaluation, indeterminate forms and the convergence machinery of Calculus II: Taylor expansions, radius of convergence and…
Partial derivatives, gradients and the vector-field operators used in Calculus III, electromagnetics and fluid mechanics, plus…
Iterative root solvers and curve-fitting routines from a standard numerical analysis course, with full iteration tables so…
Analytic and step-by-step numerical solvers for the ordinary differential equations assigned in a first ODE course and used in…
Core matrix operations, elimination, decompositions and eigenanalysis used across linear algebra courses, structural and circuit…
Dot and cross products, angles and projections in 2D and 3D, the arithmetic behind statics, physics, 3D graphics and analytic…
Propositional logic, Boolean minimization, set algebra, graph algorithms and recurrence/complexity analysis for discrete…
Most used in calculus, linear algebra & discrete math
- Derivative CalculatorStandard differentiation rules (power, product, quotient, chain)Type a function of one variable and this calculator differentiates it symbolically, simplifies the result, and evaluates the…
- Second Derivative CalculatorSecond derivative test for concavity and local extremaEnter a function and this calculator differentiates it twice, evaluates the second derivative at the point you name, scans the…
- Implicit Differentiation CalculatorImplicit function theoremEnter an equation in x and y — one side on the left, one on the right — and this calculator produces dy/dx without ever solving…
- Tangent Line CalculatorPoint-slope form of the tangent line, y = f(a) + f′(a)(x − a)Pick a curve and a point on it, and this calculator returns the tangent line, the normal line perpendicular to it, and the…
- Indefinite Integral CalculatorStandard integration rules: power, substitution, by partsEnter a function and this calculator finds its antiderivative, splitting the integrand into terms and reporting which rule…
- Definite Integral CalculatorFundamental Theorem of Calculus; adaptive Simpson quadratureEnter an integrand and two limits and this calculator evaluates the definite integral by adaptive Simpson quadrature, refining…
- Trapezoidal Rule CalculatorComposite trapezoidal rule with the classical second-derivative error boundThe trapezoidal rule joins consecutive points on a curve with straight lines and adds the areas of the resulting trapezoids…
- Simpson's Rule CalculatorComposite Simpson's 1/3 and 3/8 rules with the classical fourth-derivative error boundSimpson's rule fits a parabola through every consecutive triple of points and integrates the parabolas instead of the function…
- Area Between Curves CalculatorA = ∫ |f(x) − g(x)| dx, split at each intersectionEnter two functions and this calculator finds every point where they cross inside your search window, integrates the gap…
- Limit CalculatorEpsilon-delta definition of a limit, evaluated by numerical approachEnter a function and a point and this calculator approaches that point from both sides, dividing the step by ten at each stage…
- Taylor Series CalculatorTaylor's theorem with the Lagrange form of the remainderA Taylor polynomial matches a function's value and its first N derivatives at one chosen point, and then behaves like the…
- Partial Derivative CalculatorClairaut's theorem on the equality of mixed partialsType a function of x , y and z and this calculator differentiates it with respect to one variable at a time, holding the others…