Web Reference: Nov 16, 2022 · In this section we will discuss implicit differentiation. Not every function can be explicitly written in terms of the independent variable, e.g. y = f (x) and yet we will still need to know what f' (x) is. Implicit differentiation will allow us to find the derivative in these cases. Finding the derivative when you can’t solve for y. You may like to read Introduction to Derivatives and Derivative Rules first. A function can be explicit or implicit: Explicit: "y = some function of x". When we know x we can calculate y directly. Implicit: "some function of y and x equals something else". Knowing x does not lead directly to y. Fortunately, the technique of implicit differentiation allows us to find the derivative of an implicitly defined function without ever solving for the function explicitly.
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