 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Definition (9)

Expert-verified Found in: Page 236 ### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861 # Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition with a graph or algebraic example, if possible.- what it means to say that y is an implicit function of x, and the meaning of implicit differentiation

It means that the relation between $x,y$ is not described by expressing $y$ in terms of $x$.

See the step by step solution

## Step 1: Given Information

It is mentioned that $y$ is an implicit function of $x$.

## Step 2: Simplification

It means that relation between $x$ and $y$ is not described by expressing $y$ explicitly in terms of $x$.

In Implicit differentiation, we differentiate each side of the equation with two variables by treating one of the variables as a function of the other. ### Want to see more solutions like these? 