It is not necessarily the case that a function will be written explicitly in terms of it’s independent variable. In these situations there is usually an expression that involves the independent variable(s) and the dependent variable implicitly. In this case something called implicit differentiation is used when evaluating the derivative. Below is an introduction to implicit differentiation and some practice exercises to really help train the technique of implicit differentation.
You may also like
Practice working with rational functions and finding asymptotes with Raise my marks math tutoring and exercises, ottawa, toronto, Canada, IB math, AP calculus, Provincial curriculums.
Practice exercises for converting between the different types of fractions, improper, proper and mixed.
The difference of squares is another specially structured quadratic. A difference of squares has a very specific factorization which we will learn about.
There are many different centres of a triangle. Learn about four of the main centres of a triangle: the centroid, circumcentre, orthocentre and incentre of a triangle. Practice finding these four centres.