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12.2 Differentiation from first principles
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Average and instantaneous gradient

Average and instantaneous gradient

Graph of a curve y=f(x) with points at x and x+h, a secant line through both points, and a tangent at x

A straight line has one constant gradient, but a curve changes steepness from point to point. The gradient between two points on a curve is the average gradient, found from the secant or chord joining them.

12.2 Differentiation from first principles Lesson

  1. A Level
  2. /Maths
  3. /12.2 Differentiation from first principles

Step-by-step lessons on Edexcel A Level Maths 12.2 Differentiation from first principles. Each one builds up to exam-style questions. Build fluency with the core pure algebra and calculus toolkit early, since almost every mechanics and statistics topic on the course depends on it.

Lessons