Calculus Calculators That Show Every Step
Free, fast, ad-light tools for derivatives, integrals, limits, series, and more — built for students who need to check work and actually understand it.
Calculus Calculators Built to Teach, Not Just Answer
Most online calculators hand you a final number and stop there. CalculusSolver is different: every calculator on this site shows the rule it used, the intermediate expressions it passed through, and a live graph so you can see the shape of the problem, not just the digits. Whether you're checking a derivative before a quiz, working through a definite integral for a physics problem set, or trying to understand why a limit doesn't exist, the goal is the same — get an answer you can actually verify against your own work.
Every tool runs entirely in your browser. There's no server round-trip, no account to create, and no waiting: type an expression and the result, steps, and graph update instantly. That also means your functions never leave your device.
- Step-by-step, not just answers. Each calculator breaks its work into labeled steps so you can find exactly where your own solution diverges.
- Graphs alongside the math. Seeing a function and its derivative or the shaded area of a definite integral makes the underlying concept click faster than symbols alone.
- Built for real coursework. Tools cover the topics that show up in Calculus I, II, and III: limits, derivatives, integrals, series, and multivariable calculus.
- Growing every week. We're actively expanding toward a full library of 100+ calculus tools — see what's live and what's coming next on the All Tools page.
Popular Calculators
View all tools →Derivative Calculator
Differentiate any function and see every step, from the power rule to the chain rule.
DerivativesSecond Derivative Calculator
Find f''(x) instantly and see how it reveals concavity and inflection behavior.
Multivariable CalculusPartial Derivative Calculator
Differentiate multivariable functions with respect to x or y while holding the other variable constant.
DerivativesImplicit Differentiation Calculator
Find dy/dx for equations where y isn't isolated, like circles and other implicit curves.
IntegralsIndefinite Integral Calculator
Find antiderivatives of common functions with the rule used at each step, plus the constant of integration.
IntegralsDefinite Integral Calculator
Evaluate a definite integral between two limits and see the shaded area under the curve.
Limits & ContinuityLimit Calculator
Evaluate limits at a point, at infinity, or one-sided limits, including 0/0 indeterminate forms.
Series & SequencesTaylor Series Calculator
Expand a function into a Taylor or Maclaurin polynomial and see how the approximation compares to the original.
Applications of DerivativesCritical Points Calculator
Locate critical points and classify each as a local max, local min, or neither.
Applications of DerivativesInflection Point Calculator
Find where a function changes concavity and view concave-up and concave-down intervals.
Applications of IntegralsArc Length Calculator
Find the length of a curve between two points using the arc length integral formula.
IntegralsRiemann Sum Calculator
Approximate area under a curve with left, right, or midpoint rectangles and compare to the exact integral.
DerivativesChain Rule Calculator
Differentiate composite functions like sin(3x²) with the outer and inner parts worked separately.
DerivativesProduct Rule Calculator
Differentiate products like x²·sin(x) with u, v, u', and v' worked out separately.
DerivativesQuotient Rule Calculator
Differentiate fractions like sin(x)/x² with the numerator and denominator handled separately.
DerivativesLogarithmic Differentiation Calculator
Differentiate variable-to-variable powers like x^x by taking logarithms first.
DerivativesHigher-Order Derivative Calculator
Find the nth derivative of a function with every intermediate derivative listed in order.
Applications of DerivativesTangent Line Calculator
Find the equation of the line tangent to a curve at any point, with the slope worked from the derivative.
Applications of DerivativesNormal Line Calculator
Find the line perpendicular to a curve at a point using the negative reciprocal slope.
Applications of DerivativesLinear Approximation Calculator
Approximate a function near a point with its linearization L(x) and see the estimation error.
DerivativesDerivative at a Point Calculator
Evaluate the instantaneous rate of change f'(a) at a specific x-value, verified numerically.
Limits & ContinuityOne-Sided Limit Calculator
Evaluate left-hand and right-hand limits separately and see whether they agree.
Limits & ContinuityLimit at Infinity Calculator
Find end behavior as x grows without bound and identify horizontal asymptotes.
Limits & ContinuityL'Hopital's Rule Calculator
Resolve 0/0 and ∞/∞ indeterminate forms with each differentiation round shown.
Limits & ContinuityContinuity Calculator
Run the three-part continuity test at a point and classify any discontinuity found.
Applications of DerivativesNewton's Method Calculator
Find roots iteratively with tangent lines, watching each guess improve in a table.
Applications of DerivativesMean Value Theorem Calculator
Find where the tangent slope equals the secant slope over an interval, as MVT guarantees.
Applications of IntegralsAverage Value Calculator
Find a function's mean height over an interval with the integral average-value formula.
IntegralsTrapezoidal Rule Calculator
Approximate integrals with trapezoids and compare the result against the exact value.
IntegralsSimpson's Rule Calculator
Approximate integrals with parabolic arcs — far more accurate than rectangles for the same n.
Applications of IntegralsArea Between Curves Calculator
Compute the area enclosed between two curves with the region shaded on a live graph.
IntegralsImproper Integral Calculator
Evaluate integrals to infinity by watching partial integrals converge — or detect divergence.
IntegralsU-Substitution Calculator
Integrate composite patterns like 2x·cos(x²) with u and du identified automatically.
IntegralsIntegration by Parts Calculator
Integrate products like x·eˣ with u and dv chosen and every round of the formula shown.
Multivariable CalculusDouble Integral Calculator
Integrate f(x, y) over a rectangle with the iterated setup and a precise numeric result.
Differential EquationsInitial Value Problem Calculator
Solve y' = f(x) with y(x₀) = y₀ — find the antiderivative and pin down the constant C.
Browse by Category
Derivatives
Differentiate functions step by step, from basic power-rule problems to implicit and higher-order derivatives.
Integrals
Find indefinite and definite integrals, approximate area under curves, and work through integration techniques.
Limits & Continuity
Evaluate limits at a point, at infinity, and one-sided limits, and test functions for continuity.
Series & Sequences
Expand functions into Taylor and Maclaurin series and test sequences and series for convergence.
Multivariable Calculus
Partial derivatives, gradients, and other tools for functions of two or more variables.
Applications of Derivatives
Use derivatives to find critical points, extrema, concavity, tangent lines, and optimize real functions.
Applications of Integrals
Use integrals to compute arc length, area, volume, work, and averages.
Differential Equations
Solve and visualize ordinary differential equations.
Vector Calculus
Gradients, divergence, curl, and line integrals for vector fields.
Precalculus Prep
Foundational function analysis tools that support calculus coursework.