Evaluate a derivative at a point

A calculator evaluates a derivative at a point

Before using the calculator, identify the function, variable and evaluation point. After calculating, check whether the question needs a numerical value or an exact symbolic result.

Section 4 is marked self-reading. Example 14 retains both printed menu routes to nDeriv, the function/variable/evaluation-point template, ENTER and the results 4 and 0.600 (three significant figures).

Use a numerical derivative as a value at the specified point; it is not a replacement for an exact symbolic proof.

Appendix Examples A–E are included below. The sine/exponential numerical limits are identified as standard limits motivated by source calculator observations, rather than proved by finite samples.

The Teacher-only syllabus note is integrated into the sine proof; both calculator workflows distinguish missing values from rounded near-zero displays.

The full page 21 mastery checklist and study map are below.

The closing Discussion and Review questions reuse the existing reviewed chapter sets, preserving the printed source key and its recorded qualifications.