AQA A Level Maths: Pure复习笔记7.3.3 Chain Rule
Chain Rule What is the chain rule? The chain rule is a formula that allows you to differentiate composite functions If y is a function of u, and u is a function of x, then the chain rule tells us t...
AQA A Level Maths: Pure复习笔记7.3.2 Differentiating Other Functions (Trig, ln & e etc)
Differentiating Other Functions (Trig, ln & e etc) How do I differentiate common functions? These are the common results How do I differentiate exponentials and logarithms? The two basic differ...
AQA A Level Maths: Pure复习笔记7.3.1 First Principles Differentiation - Trigonometry
First Principles Differentiation - Trigonometry How do I derive the derivatives of trigonometric functions from first principles? Recall that for a function f(x) the definition of the derivative fr...
AQA A Level Maths: Pure复习笔记7.2.6 Modelling with Differentiation inc. Optimisation
Modelling with Differentiation inc. Optimisation How can I use differentiation to solve modelling questions? Derivatives can be calculated for any variables – not just y and x In every case the der...
AQA A Level Maths: Pure复习笔记7.2.5 Sketching Gradient Functions
Sketching Gradient Functions How can I sketch a function's gradient function? Using your knowledge of gradients and derivatives you can use the graph of a function to sketch the corresponding gradi...
AQA A Level Maths: Pure复习笔记7.2.4 Stationary Points & Turning Points
Stationary Points & Turning Points What are stationary points? A stationary point is any point on a curve where the gradient is zero To find stationary points of a function f(x) Step 1: Find th...
AQA A Level Maths: Pure复习笔记7.2.3 Second Order Derivatives
Second Order Derivatives What is the second order derivative of a function? If you differentiate the derivative of a function (ie differentiate the function a second time) you get the second order ...
AQA A Level Maths: Pure复习笔记7.2.2 Increasing & Decreasing Functions
Increasing & Decreasing Functions What are increasing and decreasing functions? A function f(x) is increasing on an interval [a, b] if f'(x) ≥ 0 for all values of x such that a< x < b. If...
AQA A Level Maths: Pure复习笔记7.2.1 Gradients, Tangents & Normals
Gradients, Tangents & Normals Using the derivative to find the gradient of a curve To find the gradient of a curve y= f(x) at any point on the curve, substitute the x‑coordinate of the point in...
