Calculus calculators
Rates of change and accumulation, one term at a time.
Calculus starts with polynomials, and so do these tools: differentiate and integrate term by term with the power rule applied visibly.
The two rules that run everything here
The power rule: bring the exponent down as a multiplier, then subtract one from the exponent. d/dx[x³] = 3x². Apply it to each term separately, derivatives distribute over addition, so a polynomial is just several power rules in a row.
Integration reverses it: add one to the exponent, divide by the new exponent, and never forget + C, the constant of integration, because every constant differentiates to zero.
Common questions
Differentiation destroys constant information: d/dx[x² + 5] and d/dx[x²] are both 2x. The + C records that any constant could have been there.
Polynomials only in this version, sums of terms like 3x². Each page states its scope honestly; transcendental functions (sin, eˣ) are a planned expansion.
All the calculus tools in one place
This hub gathers every calculus calculator on the site, from the basic power rule tools to multivariable work. Each tool shows its working step by step, so you can follow the method, check your own homework, or find exactly where a hand calculation went wrong.
Start with derivatives and integrals if you are new to the subject. Move on to limits, linear approximation and the multivariable tools when you need rates in several variables or totals over a solid region.
- Derivative Calculator – Differentiate polynomials term by term with the power rule.
- Integral Calculator – Find antiderivatives with the reverse power rule.
- Composite Function Calculator – Build and evaluate functions inside other functions.
- Implicit Derivative Calculator – Find dy/dx when y is not isolated in the equation.
- Limit Calculator – Evaluate what a function approaches, including one sided limits.
- Linear Approximation Calculator – Estimate nearby values using the tangent line.
- Partial Derivative Calculator – Differentiate multivariable functions one variable at a time.
- Triple Integral Calculator – Integrate polynomial functions over a rectangular box.
More questions
Match the tool to the question. Slopes and rates point to a derivative tool, totals and areas point to an integral tool, and behaviour near a tricky point points to the limit tool.
They show steps. Each calculator sets out the rule it applies at each stage, so you can compare its working with your own line by line and spot the first line where they differ.