📈 Adaptive Derivatives Trainer — Business Calculus

  • Starts with easy rules (constant, power, constant multiple, sum/difference, exponential, quotient), then automatically moves to chain rule and product rule as you improve.
  • Includes critical values, second derivative, inflection point, closed-interval optimization, and L'Hôpital's rule.
  • Optimization now includes quadratic (unconstrained), cubic special form, and sum of squares in b (least squares).
  • Test generator (exam-weighted) builds a proportional test from sections.
  • Follow‑up Q&A: one follow‑up per question; export CSV includes original item + follow‑up Q/A.

Tips: You can type e^(x^2), exp(x^2), ln(x), ^ or ** for powers, and \cdot or *.

Topic bank (optional — leave empty for auto progression)

Instructor Tools


PDF Test Generator (LaTeX/PDF)

Topics to include (blank = all)

Environment check

  • OpenAI client available: True
  • Model: gpt-4.1-mini

Your Mastery by Topic (higher is better)