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From gradient to derivative

From gradient to derivative

Curve on axes with tangent at point P, a rise-run triangle, and gradient dy/dx marked at x=a A straight line has one constant gradient, but a curve can have a different gradient at each point. To get the gradient at one point on a curve, we draw the tangent there.

Differentiation Lesson

  1. AS Level
  2. /Maths
  3. /Differentiation

Step-by-step lessons covering Edexcel AS Level Maths Differentiation for AS Level Maths. Each lesson breaks down 12.1 Gradients of Curves, 12.2 Differentiation from first principles, 12.3 Differentiating x^n, 12.4 Differentiating Quadratics, 12.5 Differentiating functions with two or more terms, 12.6 Gradients, Tangents and Normals, 12.7 Increasing and Decreasing Functions, 12.8 Second Order Derivatives, 12.9 Stationary Points, 12.10 Sketching Gradient Functions, and 12.11 Modelling with Differentiation, then works through exam-style questions in Paper 1 and Paper 2 format. Build fluency in the core algebra, surds and trigonometry topics early, since they underpin the calculus, statistics and mechanics content that follows.

Lessons

Algebraic ExpressionsGraphs and TransformationsStraight Line GraphsThe Binomial ExpansionTrigonometric RatiosVectorsIntegrationExponentials and Logarithms