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 implicit differentiation can be used to evaluate the derivative. An introduction to implicit differentiation and some practice exercises are provided.
You may also like
In this topic we practice identifying when to use the cosine and sine laws to solve trigonometric word problems. Worked examples are […]
In this topic we use all the techniques from differential calculus so far to sketch the graphs of various function.
We review what related rates are and their relationship to the derivative of a function. We work through examples on how to […]
In this topic we review the higher order derivatives such as the second, third and higher, of a function. We work through […]