Laws and key relationships
Point 1 of 8 — Lesson 2 – Rules of Differentiation, Chain Rule and Tangent LinesQuestion bank: 38 questions (38 with pictures)
02 Laws and key relationships
- Power Rule of Differentiation: [ Formula: d/dx [xn] = n × x^(n - 1) ] Valid for all real exponents n (positive, negative, and fractional).
- Product and Quotient Rules: [ Formula: d/dx [u v] = u v' + v u' | d/dx [u / v] = (v u' - u v') / v² ] Essential for differentiating complex rational and polynomial products.
- Equation of the Tangent Line: [ Formula: y - y1 = m × (x - x1) ] Where m = dy/dx evaluated at point of contact (x1, y1).
- Equation of the Normal Line: [ Formula: y - y1 = (-1 / m) × (x - x1) ] Perpendicular line to the tangent passing through the point of tangency.
📝 Question bank for this point
38 questions linked to this point only, 38 of them with pictures.