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Differentiation

Geometrically, what does the derivative dydx\frac{dy}{dx}dxdy​ represent at a specific point on a curve?

A

Use a constraint to substitute one variable so the function is in one variable only.

B
  • Increasing: dydx>0\frac{dy}{dx} > 0dxdy​>0
  • Decreasing: dydx<0\frac{dy}{dx} < 0dxdy​<0
C

The gradient of the tangent to the curve at that point.

D

When solving optimisation problems, you find the stationary point by setting the derivative to 0.

Differentiation Flashcards

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

Flashcards for Edexcel A Level Maths Differentiation, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 22 cards drawn from 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, matched to the Edexcel A Level Maths (9MA0) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.

Flashcards