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.

How to do implicit differentiation? Recall that implicit functions are functions that are not expressed in the form y = f (x) y = f (x). For example, x 2 + 2 x y = 5 x2 + 2xy = 5 is an implicit function. In some …

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 …

Nov 22, 2025 · Master implicit differentiation with our comprehensive guide. Learn step-by-step techniques, solve 20+ examples, and understand when to use implicit vs explicit differentiation.

Implicit differentiation is a technique used in calculus to find the derivative of a function where the dependent variable (usually (y)) is not explicitly defined in terms of the independent variable (usually …

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 .

Jul 23, 2025 · Implicit Differentiation is the process of differentiation in which we differentiate the implicit function without converting it into an explicit function. For example, we need to find the slope of a …

The following problems require the use of implicit differentiation. Implicit differentiation is nothing more than a special case of the well-known chain rule for derivatives.