Use implicit differentiation to find y' for a complicated implicitly defined relation.

Question: Use implicit derivative to find y'
𝑈𝑠𝑒 𝑖𝑚𝑝𝑙𝑖𝑐𝑖𝑡 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡𝑖𝑎𝑡𝑖𝑜𝑛 𝑡𝑜 𝑓𝑖𝑛𝑑 𝑦
′
𝑖𝑛 𝑡ℎ𝑒 𝑓𝑜𝑙𝑙𝑜𝑤𝑖𝑛𝑔:
3𝑥𝑦
2 + 𝐶𝑜𝑠(𝑦
2 + 𝑆𝑒𝑐 𝑥) = ln (𝑥
2 + 𝑦)

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Answered By:

Doug C.
Math Tutor with Reputation to make difficult concepts understandable

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