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

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) …

Nov 17, 2024 · Implicit differentiation is a technique based on the Chain Rule that is used to find a derivative when the relationship between the variables is given implicitly rather than explicitly (solved …

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.

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 …

Nov 22, 2025 · Implicit differentiation is a powerful calculus technique used to find the derivative of equations where the dependent variable (usually y) is not explicitly isolated on one side.

Recall from Implicit Differentiation that implicit differentiation provides a method for finding d y / d x when y is defined implicitly as a function of x. The method involves differentiating both sides of the …

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 …

The resulting equation is called an implicit formula for y because we cannot solve for y directly. To find y', we need to take the derivative of the entire equation with respect to x.

In fact, implicit differentiation can be used to differentiate equations that do not match the criteria to be a function. The main key to implicit differentiation is to keep in mind with respect to which variable we …