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) …

Sometimes the implicit way works where the explicit way is hard or impossible. Example: 10x 4 − 18xy 2 + 10y 3 = 48.

Nov 17, 2024 · For example, given y = 3 x 2 7, we can easily find y = 6 x. (Here we explicitly state how x and y are related. Knowing x, we can directly find y.) Sometimes the relationship between y and x is …

In implicit differentiation, we differentiate each side of an equation with two variables (usually x and y ) by treating one of the variables as a function of the other. This calls for using the chain rule. Let's …

The following diagrams show the steps for implicit differentiation. Scroll down the page for more examples and solutions on how to use implicit differentiation.

Implicit differentiation is the process of differentiating an implicit function which is of the form f (x, y) = 0, and finding dy/dx. Learn more about the process of implicit derivative along with steps and implicit …

Understanding implicit differentiation through examples and graphs and over 10 interactive practice problems explained step by step .

Example 3 Often, it is difficult or impossible to solve explicitly for y, and implicit differentiation is the only feasible method of differentiation. An example is the equation It is impossible to algebraically express …

Jul 23, 2025 · In the previous article, we have discussed the introduction part and some basic examples of Implicit differentiation. So in this article, we will discuss some advanced examples of implicit …

Nov 16, 2022 · Here is a set of practice problems to accompany the Implicit Differentiation section of the Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University.