Maths With Dave/A Level Maths Mastery 1 - Differentiation 1

  • £40

A Level Maths Mastery 1 - Differentiation 1

  • Course
  • 26 Lessons

Everything you need to know for the first year of A level maths differentiation. This topic is incredibly important to master, as there are many marks - both directly and indirectly - linked to this topic in the exam!

Contents

Differentiation - the "Power Rule"

Welcome to your course on differentiation basics!


This is such an important topic in A level mathematics, and taking the time to really understand and master these foundations will reward you over and over again throughout your learning journey.

We kick-start the process here with what is sometimes called the "Power Rule", what differentiation actually means and solve some simple, exam style problems.

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Introduction to Differentiation
Exercise - Differentiation Basics
Solutions: Differentiation Basics Exercise
Differentiation of Linear Terms
Differentiating Roots and Recipricols
Exercise - Exam Style Questions
Solutions to Exercise 2

Applications of Differentiation

Differentiation has MANY applications throughout mathematics and other disciplines.  Here in this section we explore the key applications that you will be asked about in exam-style questions.
Stationary Points and Rates of Change
The Second Differential
Exercise - Stationary Points
Solutions - Stationary Points Exercise
Lesson: Optimisation Problems
Exercise - Optimisation
Solutions - Optimisation
Lesson - Tangents and Normals
Exercise - Tangents and Normals
Solutions - Tangents and Normals Exercise

Differentiation from First Principles

In this section you will (finally!) see where the power rule comes from!

This mysterious, magical rule that just so "happens" to tell us about the gradient of a graph has an explanation - so let's get stuck in.

(and YES - you do need to know this stuff for the exam!)
First Principles - Lesson 1
First Principles - Lesson 2
Exercise - First Principles
Solutions - Differentiation from First Principles

Checkout Exercise

Time to combine everything you've learned!
Checkout Exercise
Checkout Exercise Solutions
BONUS - introduction to integration
BONUS - the Natural Base (exponentials and logarithms)
BONUS - Algebra with the Natural Base