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Gradient at a point

Gradient at a point

A straight line has a constant gradient, but a curve changes gradient from point to point. The derivative, written dydx\frac{dy}{dx}dxdy​ or f′(x)f'(x)f′(x), gives the gradient of the tangent at a chosen point.

Differentiation Lesson

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

Step-by-step lessons covering Edexcel A Level Maths Differentiation for A Level Maths. Each lesson breaks down 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change, then works through exam-style questions in Paper 1, Paper 2 and Paper 3 format. 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

Algebraic MethodsSequences and SeriesBinomial ExpansionRadiansTrigonometric FunctionsTrigonometry and ModellingParametric EquationsDifferentiationNumerical MethodsIntegrationVectors