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Suppose that and are both differentiable functions of and are related by the given
equation. Use implicit differentiation with respect to to determine in terms of , and
.

Ask by Schwartz Reed. in the United States
Nov 09,2024

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Beyond the Answer

To find using implicit differentiation, we start by differentiating the given equation with respect to .
Using the product rule and chain rule, we differentiate each term:
Combining these, we have:
Now, let’s isolate :
Factor out from the right side:
Now, divide both sides by :
This simplifies to:
Thus, we conclude that:

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