Use the chain rule to find 𝑑𝑧/𝑑𝑡 z=𝑥𝑦^9−𝑥^2 𝑦, 𝑥=𝑡^2+1, 𝑦=𝑡^2−1

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Use the chain rule to find 𝑑𝑧/𝑑𝑡 z=sin⁡(𝑥)cos⁡(𝑦), 𝑥=√𝑡, 𝑦=6/𝑡
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Use the chain rule to find 𝑑𝑧/𝑑𝑡 z=sin⁡(𝑥)cos⁡(𝑦), 𝑥=√𝑡, 𝑦=6/𝑡
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Use the chain rule to find 𝑑𝑤/𝑑𝑡 𝑤=ln⁡(√(𝑥^2+𝑦^2+𝑧^2 )), 𝑥=6sin⁡(𝑡), 𝑦=2cos⁡(𝑡), 𝑧=3tan⁡(𝑡)
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Use the chain rule to find 𝑑𝑤/𝑑𝑡 𝑤=ln⁡(√(𝑥^2+𝑦^2+𝑧^2 )), 𝑥=6sin⁡(𝑡), 𝑦=2cos⁡(𝑡), 𝑧=3tan⁡(𝑡)
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Use the chain rule to find 𝑑𝑧/𝑑𝑠 and 𝑑𝑧/𝑑𝑡 𝑧=𝑒^𝑟 cos⁡(𝜃) 𝑟=𝑠𝑡, 𝜃=√(𝑠^6+𝑡^6 )
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Use the chain rule to find 𝑑𝑧/𝑑𝑠 and 𝑑𝑧/𝑑𝑡 𝑧=𝑒^𝑟 cos⁡(𝜃) 𝑟=𝑠𝑡, 𝜃=√(𝑠^8+𝑡^8 )
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