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 review the higher order derivatives such as the second, third and higher, of a function. We work through […]
This topic reviews the vector and scalar projections of one vector onto another vector , both graphically and geometrically.
This topic looks at the application of derivatives to optimization problems. Worked examples are provided along with practice exercises.
In this topic we review the notion of velocity. Velocity is another example of a vector that is commonly found in physics […]