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.
Step-by-step lessons on Edexcel A Level Maths Differentiation, covering 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. 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.