Three focused modes
Derivative, integral and limit controls live in one workspace without mixing their task-specific conditions.
Choose derivatives, integrals or limits, enter the conditions from your problem and review a deterministic solution path built for supported calculus expressions.
Live solution theater
Follow the glow. Each move has a reason.
x^3 + 2x
Result preview
3 · x^2 + 2
Built around your question
A calculus problem solver needs more than an expression. The intended operation changes the meaning: differentiating a function, finding an antiderivative and evaluating behavior near a point are different tasks even when they begin with similar notation.
The workspace separates those tasks and reveals the relevant controls. Derivatives can use a chosen variable and order. Integrals can include optional bounds. Limits require an approach value and may need a left, right or two-sided direction.
Once the task is explicit, the solver builds the supported rule path. This helps prevent a common source of confusion: getting a valid calculation for the wrong interpretation of the original question.
Derivative, integral and limit controls live in one workspace without mixing their task-specific conditions.
Examples and keyboard shortcuts show how to write powers, functions and grouped expressions clearly.
The solver reports unsupported expressions instead of presenting an unchecked guess as a finished solution.
Named rules and intermediate forms help you compare the generated path with a textbook or your own attempt.
A visible calculation path
Read the verb in the question first: differentiate, integrate or find the limit. Then transfer the expression and every stated condition before pressing solve.
Select derivative, integral or limit so the workspace can show the controls that matter for that problem.
Use ^ for powers and parentheses for functions such as sin(x), log(x) and exp(x). The parser rejects unrecognized input instead of guessing.
The solver keeps intermediate expressions visible and identifies the rule responsible for each supported transformation.
When an independent deterministic check is available, the answer receives a Verified label. Unsupported work is marked clearly.
Problems you can try
The expression is only one part of a calculus problem. These examples show the extra condition that determines the calculation.
Find the second derivative of x^4
Choose derivative mode, keep x as the variable and set the derivative order to two in the dedicated calculator.
Evaluate ∫₀² 3x² dx
Choose integral mode and include both finite bounds; leaving them blank would ask for an indefinite integral instead.
Find lim x→0⁺ 1/x
Choose limit mode, set the approach value to zero and select the right side because direction changes the result.
A missing bound, derivative order or one-sided direction can turn the input into a different problem. Review the original question after entering it, and treat an unsupported status as a request to use another method rather than permission to infer an answer.
FAQ
The current deterministic engine handles common derivatives, definite and indefinite integrals, and finite or infinite limits within its documented rule set.
Use the dedicated derivative calculator and select the variable that should change while other symbols are treated as constants.
The tool returns a clear unsupported message. It does not use AI text to invent a replacement mathematical result.
Yes. Use the output to review and understand a method, and follow the requirements of your teacher, course or assessment.
Ready when you are
A useful calculus problem solver begins with an accurate problem statement. Select the correct mode, enter every condition and use the worked steps to review the result.