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How must \[y\] be treated while differentiating an implicit function with respect to \[x\]?

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Question

How must \[y\] be treated while differentiating an implicit function with respect to \[x\]?

Options

  • As a function of \[y\] only.

  • As a function of \[x\].

  • As equal to \[x\].

  • As a constant.

MCQ
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Solution

In implicit differentiation, \[y\] depends on \[x\]. Thus, \[y\] must be treated as a function of \[x\] throughout the differentiation.

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