CIE A Level Maths: Pure 3复习笔记5.1.3 f'(x)/f(x)
f'(x)/f(x) Integrating fractions The technique for integrating fractions depends on the type of fraction For polynomial denominators see Integration using Partial Fractions The type of fraction dea...
CIE A Level Maths: Pure 3复习笔记5.1.2 Integrating with Trigonometric Identities
Integrating with Trigonometric Identities What are trigonometric identities? You should be familiar with the trigonometric identities Make sure you can find them in the formula booklet You may need...
CIE A Level Maths: Pure 3复习笔记5.1.1 Integrating Other Functions (Trig, ln & e etc)
Integrating Other Functions (Trig, ln & e etc) Isn’t integration just the reverse of differentiation? Yes, but remember “+c”, the constant of integration … … unless finding a definite integral ...
CIE A Level Maths: Pure 3复习笔记4.3.4 Parametric Differentiation
Parametric Differentiation How do I find dy/dx from parametric equations? Ensure you are familiar with Parametric Equations – Basics first This method uses the chain rule and the reciprocal prop...
CIE A Level Maths: Pure 3复习笔记4.3.3 Parametric Equations - Sketching Graphs
Parametric Equations - Sketching Graphs How do I sketch a graph from parametric equations? Plotting a graph is covered in Parametric Equations - Basics Still find the key features of a graph … … t...
CIE A Level Maths: Pure 3复习笔记4.3.2 Parametric Equations - Eliminating the Parameter
Parametric Equations - Eliminating the Parameter What does eliminating the parameter mean? In parametric equations, x = f(t) and y = g(t) There is still a connection directly linking x and y This ...
CIE A Level Maths: Pure 3复习笔记4.3.1 Parametric Equations - Basics
Parametric Equations - Basics What are parametric equations? Graphs are usually described by a Cartesian equation The equation involves x and y only Equations like this can sometimes be rearranged...
CIE A Level Maths: Pure 3复习笔记4.2.1 Implicit Differentiation
Implicit Differentiation What is implicit differentiation? An equation connecting x and y is not always easy to write explicitly in the form y= f(x) or x = f(y) However you can still differentiate ...
CIE A Level Maths: Pure 3复习笔记4.1.3 Quotient Rule
Quotient Rule What is the quotient rule? The quotient rule is a formula that allows you to differentiate a quotient of two functions (ie one function divided by another) Exam Tip Worked Example &nb...
CIE A Level Maths: Pure 3复习笔记4.1.2 Product Rule
Product Rule What is the product rule? The product rule is a formula that allows you to differentiate a product of two functions Exam Tip The product rule formulae are in the formulae booklet – mak...
CIE A Level Maths: Pure 3复习笔记4.1.1 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...
CIE A Level Maths: Pure 3复习笔记3.4.1 Trigonometric Proof
Trigonometric Proof Proving trigonometric identities You can use trigonometric identities you already know to prove new identities Make sure you know the simple trigonometric identities and further...
