Calculus & Graphing Tools

Free calculus and graphing calculators that run entirely in your browser — derivatives, integrals, limits, an interactive function grapher, Taylor series, Riemann sums, Newton's method, tangent and secant lines, critical points, area between curves and arc length. Show-your-work math, nothing uploaded.

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Derivative Calculator

Compute the exact symbolic derivative d/dx of any function with power, product, quotient and chain rules, and evaluate f'(x) at a point.

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Definite Integral Calculator

Numerically evaluate the definite integral of f(x) from a to b with composite Simpson's rule, and get an exact antiderivative for polynomials.

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Limit Calculator

Estimate the two-sided or one-sided limit of f(x) as x approaches a value or ±infinity by numeric sampling, and flag when the limit does not exist.

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Function Graphing Calculator

Plot y = f(x) for one or more functions on a pan-and-zoom canvas, with automatic axes, gridlines, x-intercept roots and the y-intercept.

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Taylor / Maclaurin Series Calculator

Expand f(x) as a Taylor series about a point a (Maclaurin when a = 0) up to n terms, showing each derivative, coefficient and the polynomial.

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Riemann Sum Calculator

Approximate the area under f(x) on [a,b] with left, right, midpoint or trapezoid rules and n subintervals, with the error versus the exact integral.

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Newton's Method Root Finder

Find a root of f(x)=0 with Newton–Raphson iteration from a starting guess, showing every iterate, the residual f(xₖ), and the convergence path.

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Tangent & Normal Line Calculator

Find the tangent line to y=f(x) at x=a and the perpendicular normal line, with slope, point of tangency, and equations in slope-intercept and point-slope form.

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Average Rate of Change & Secant Line Calculator

Compute the average rate of change of f(x) over [a,b] and the secant line through the two endpoints, in slope-intercept and point-slope form.

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Critical Points & Extrema Calculator

Locate critical points of f(x), classify each as a local maximum, local minimum, or saddle with the second-derivative test, and find inflection points.

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Area Between Two Curves Calculator

Compute the area enclosed between f(x) and g(x) over [a,b], finding intersections and integrating |f−g| with Simpson's rule so crossing regions add correctly.

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Arc Length Calculator

Compute the arc length of a curve y=f(x) from x=a to x=b using L=∫√(1+f′(x)²) dx, evaluated numerically with adaptive Simpson's rule.

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