During your maths revision you will learn here all you need about differentiation to pass your AS maths exams. I will explain to you how to differentiate with respect to x and how you can use the derivative to find the gradient at any point of a function. I will also explain what the chain rule is which you need to use for certain functions. While we are solving past paper questions you will also learn how to use the derivative to find equations of tangent and normal lines and how you can determine whether functions are increasing or decreasing. You will learn what stationary points are, how to determine whether they are a maximum or a minimum and what points of inflexion are. Finally I will help you with your maths by solving an exam question explaining what connected rates of change are. Good luck and have fun! Mr John
How to differentiate a function and what is an increasing function
In this video you will learn a lot of calculus. I will explain to you how to find the derivative of a function and what increasing and decreasing functions are. You will learn, when you study this video during your maths revision, how to use the differentiation and the derivative of a function to determine what the gradient of a function is. After checking this video you will understand how to solve this past exam question. Let me know if you need more help with your maths. Mr John
Help with calculus - what is a stationary point
Understand what stationary values are and how to determine whether a stationary value is a minimum or a maximum. In this video I will explain to you step by step how to solve these typical exam questions so you can pass your own maths exams too!
Explain Differentiation and how to find the gradient of curves
Check the next two videos during your maths revision too and pass your AS maths exam! In the first video I will explain how to differentiate, find stationary points and determine their nature by solving this past exam question for you. You will learn step by step how to solve these types of questions. In the second video you will learn how to differentiate and how to use the derivative to calculate the gradient of curves. I will explain to you step by step how to solve this past paper question so you can pass your own maths exams! Let me know if you need more help with differentiation!
Help with higher order derivatives and more!
I have made the following two maths videos for you to study during your maths revision. First I will explain to you how to differentiate an function and what higher order derivatives are. I will also explain to you how to use higher order derivatives to find stationary points and to determine the nature of those stationary points. You will also learn about the equation of normal lines and what the gradient of normal lines are. Then in the second maths video you will learn more about differentiation by solving another Past Exam Question. I will again explain to you how to differentiate and how to use the derivative to find the gradient of a curve for any point. Practising these past AS maths exam questions will help you to pass your own AS maths exam!
Great job! You now understand what differentiation is and how to find the derivative of a function. You have learnt about increasing and decreasing functions and how to find the equation of tangent and normal lines. Continue with your maths revision and follow the link below. Here we will continue to learn about differentiation. I will explain to you what stationary values are and how to find the turning points of functions. Hope to see you there soon! Mr John