David R

Thank you, David! I have learned a lot.

Learner · 5 mo. ago

Yes, there is clear evidence that Anatoli made progress during this session. He successfully applied the power rule to differentiate polynomials and fractional powers and began understanding the chain rule through guided practice. His active participation in solving problems and asking clarifying questions indicates growing confidence in applying these concepts.

Tutor · 5 mo. ago

You effectively gauged Anatoli's prior knowledge by asking about his familiarity with polynomials and basic calculus notation. You adapted well when he expressed confusion, such as clarifying the meaning of P(x) and demonstrating step-by-step how to handle complex fractional exponents. Your consistent use of follow-up questions (e.g., “Are you understanding that?”) ensured engagement and allowed you to confirm his progress.

Tutor · 5 mo. ago

You demonstrated a strong understanding of calculus concepts, particularly the power rule, chain rule, and their applications in differentiation. Your explanations of key differentiation rules were clear and methodical, such as when you guided Anatoli through solving fractional powers and applying the chain rule. Your use of examples helped contextualize abstract concepts.

Tutor · 5 mo. ago