Roots, slopes, area & extrema

Try it step by step

1. Choose a calculation and the function to analyze.
2. Enter a point for a derivative, or From x and To x for an interval calculation.
3. Choose a second function when calculating intersections.
4. Press Calculate. Open How this result was found to read the method and inspect the graph markers.

Options explained

Derivative at a point

Estimates the slope at your x value. A corner, pole or undefined input can prevent a valid derivative.

Definite integral

Calculates signed area on a proper finite interval and reports a numerical error estimate when available.

Roots

Searches for zeros in the supplied interval.

Extrema and endpoints

Finds numerical extremum candidates and checks interval endpoints.

Intersections

Compares two explicit functions over the chosen interval. Use Intersections of any curve type for other kinds of curves.

Clear results

Removes current results and analysis markers. Editing a source or parameter also clears obsolete results.

Saved calculations

Name and save up to twelve setups, update or remove them, and press Calculate to recompute using current expressions.