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 look at the instantaneous rate of change of a function.
This topic reviews the vector and scalar projections of one vector onto another vector , both graphically and geometrically.
In this topic we look at the absolute value function, it’s definition, how to apply it and work with it.
In this topic we look at some applications of the dot and cross product.