In this lesson you learn how to find the equation of the tangent and the normal at a point on a curve by differentiation.
Today we talk about how to use the quotient rule to differentiate equations which are made up of one function divided by another (quotients).
In this lesson we discuss the proof of the product rule. You don’t need to know this for using the product rule to differentiate but it will be useful to have some background knowledge on how it was developed.
In this lesson you learn how to use the product rule to differentiate equations in the form of y = f * g. (the product of 2 functions). An example question would be: Differentiate y=(x+3)(x-2)
In this lesson you learn about how the chain rule is derived. Not necessary to apply the chain rule to differentiate but good background knowledge.
Today we discuss how to use the chain rule formula, dy/dx = dy/du * du/dx, to differentiate equations.
In this lesson we differentiate a composite function e.g. y=(x+2)^2 using the chain rule. We talk about how to differentiate it the old way (by expanding first) and then how to differentiate it the new way (using the chain rule). It is a lot quicker to use the chain rule if you have to differentiate …
Following the previous lesson where we differentiated the displacement equation to get the velocity equation, we now differentiate the velocity equation to get the acceleration equation.
Today we apply what we have learned in differentiation to differentiate a displacement equation to give us the velocity equation.
In this lesson we talk about some of the different notations you will come across when dealing with calculus that mean the same thing (e.g. y=f(x), dy/dx=f'(x)=y’).