Differentiation Playlist
Take a deep dive into one of the fundamental pillars of calculus. This playlist will teach you all the fundamentals of differentiation from the chain rule to implicit differentiation. This playlist is aimed at students studying A-level (11-12th grade) and beyond. You’ll find a problem sheet at the end of each video to help you achieve your best!
Differentiation Introduction
It all begins here! Start learning about what differentiation is and how it works! We will cover differentiation by first principles and using this we will find derivatives of polynomials. Download our problem sheet below! (Answers are included)
Stationary Points
Stationary points are a very important application of differentiation. In this video we will look at what increasing and decreasing functions are and use it to define the stationary point. We will then look at how to find maximum and minimum stationary points and take a look at points of inflection.
Differentiating trigonometric functions
Trigonometric functions are some of the most fundamental functions in mathematics. In this session, we learn what the derivatives of sin(x), cos(x) and tan(x) are with our knowledge of differentiation. These functions form a very beautiful relationship with each other, you don’t want to miss this one!
What is e and ln(x)? (Euler’s Constant and The Natural Log)
Euler's constant, e, is one of the most prominent constants in mathematics and exponential functions are some of the most important in mathematics and daily life. In this video: we take a deep dive into what e is, what exponential functions are and how to differentiate them and we take a look at the super important natural logarithm, ln(x) and how to differentiate it.
Product and Quotient Rule
The product rule is one of the most useful tools for differentiating functions multiplied by other functions. This beautiful rule allows us to differentiate a practically infinite number of functions! We also take a deep dive into the quotient rule which allows us to find the derivative of functions divided by other functions! You don't wanna miss this!
Chain Rule
The Chain Rule is one of most important rules in differentiation and allows us to find the derivative of composite functions. This rule alone allows to differentiate an infinite number of different functions and combined with the product rule, allows us to solve almost every differentiation problem!
Parametric and Implicit differentiation
Parametric and Implicit differentiation are the sneakiest tools for combating derivatives! It allows us to solve difficult differentiation problems with ease by utilising the Chain Rule in very sneaky ways! Explore what's really happening with Parametric and Implicit differentiation!
