Dabour Hub EGEgyptian Curriculum · STEM & General
Exam tips

Exam tips

Point 7 of 8 — Lesson 2 – Rules of Differentiation, Chain Rule and Tangent LinesQuestion bank: 37 questions (37 with pictures)

08 Exam tips

  • The derivative of a square root is the derivative of the inside divided by twice the root: d/dx [√u] = u' / (2√u).
  • The product rule is u v' + v u', never simply u' v'.
  • The slope of the normal line is the negative reciprocal of the slope of the tangent line: mnorm = -1 / mtang.
  • A horizontal tangent has dy/dx = 0; a vertical tangent has dy/dx = undefined (denominator of derivative equals zero).
  • In implicit differentiation, remember to append (dy/dx) whenever differentiating any term containing y.

📝 Question bank for this point

37 questions linked to this point only, 37 of them with pictures.