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Calculus Calculator
Calculate the derivative of a function at a point or a definite integral between two limits.
About the Calculus Calculator
Calculate the derivative of a function at a point or a definite integral between two limits.
How to use the Calculus Calculator
- Enter the Function f(x), for example
x^2 + sin(x). - Choose an Operation: Derivative f'(x) or Definite Integral ∫ f(x)dx.
- For a derivative enter At x =; for an integral enter the Lower Bound (a) and Upper Bound (b). Then press Calculate.
Formula and method
The derivative is the slope of the function at a point. The definite integral is the signed area under the curve between a and b. Values are computed numerically.
Worked example
The derivative of x² at x = 3 is 6. The integral of x² from 0 to 3 is 9.
Tips
- Use ^ for powers and sin, cos, exp and log for functions.
- Numerical results are approximate for complicated functions.
Frequently asked questions
What does an integral represent?
The accumulated quantity, or the area under the graph, between two points.