- Understood new fundamental Calculus concepts that the tutor explained such as how a secant becomes a tangent at the limit where the point (x + h, f(x + h)) approaches the point (x, f(x)), and the Fundamental Theorem of Calculus f'(x) = lim(h -> 0) [f(x+h) - f(x)] / h.

- Solidify understanding in how to break up a worded question into simpler parts such as ... -- 1) Identify what answer is asked for exactly. For example, "find the gradient of the tangent to the curve at point P"; -- 2) Identify the info that is given. For example, "the curve is f(x) = x^2 + 2x, and point P is (x, f(x))". -- 3) The word "hence" means to use your answer to an earlier part of the question to answer a later part. - Solidify understanding in identifying words that give hints for what math concepts to apply. -- For example, the word "derivative" in the questions in Exercise 17A hint at applying the Fundamental Theorem of Calculus f'(x) = lim(h -> 0) [f(x+h) - f(x)] / h. - (Arithmetic errors) When applying the Fundamental Theorem of Calculus, Stefan needs to be careful to not incorrectly divide a term in the numerator by h. For example, (2xh + h^2 + 4x) / h = 2x + h + 4x/h, not 2x + h + 4x. Each term in the numerator has the same denominator. Stefan may therefore find it helpful to first separate the terms, i.e., write 2xh/h + h^2/h + 4x/h, and then simplify each term separately.