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Definition (9)

Expert-verifiedFound in: Page 236

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 $x$.

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

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.

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