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Chapter 2: Definition (9) (page 236)

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

Short Answer

Expert verified

It means that the relation between x,y is not described by expressingyin terms ofx.

Step by step solution

01

Given Information

It is mentioned that yis an implicit function ofx.

02

Simplification

It means that relation between xand yis not described by expressing yexplicitly 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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Most popular questions from this chapter

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