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221.

Find space dy over dx space where space xy equals 100 left parenthesis straight x plus straight y right parenthesis

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222.

Find space dy over dx comma space where space straight y left parenthesis straight y plus 1 right parenthesis equals straight x left parenthesis straight x plus 1 right parenthesis left parenthesis straight x plus 2 right parenthesis

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Here space left parenthesis straight x squared minus straight y squared right parenthesis squared equals 4 xy Differentiating space both space sides space straight w. straight r. straight t space straight x comma space we space get comma space space 2 left parenthesis straight x squared minus straight y squared right parenthesis open parentheses 2 straight x minus 2 straight y dy over dx close parentheses equals 4 straight x dy over dx plus 4 straight y.1 therefore space 4 straight x left parenthesis straight x squared minus straight y squared right parenthesis minus 4 straight y left parenthesis straight x squared minus straight y squared right parenthesis dy over dx equals 4 straight x dy over dx plus 4 straight y therefore space left square bracket straight x plus straight y left parenthesis straight x squared minus straight y squared right parenthesis right square bracket dy over dx equals straight x left parenthesis straight x squared minus straight y squared right parenthesis minus straight y therefore space dy over dx equals fraction numerator straight x left parenthesis straight x squared minus straight y squared right parenthesis minus straight y over denominator straight x plus straight y left parenthesis straight x squared minus straight y squared right parenthesis end fraction

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224.

Find space dy over dx where space square root of straight x plus square root of straight y equals 20

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225.

Find space dy over dx where space space space ax squared plus 2 hxy plus by squared plus 2 gx plus 2 fy plus straight c equals 0

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226.

Find space dy over dx space where space xy squared minus straight x squared straight y equals 4

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227.

Find space dy over dx space where space xy space log space left parenthesis straight x plus straight y right parenthesis equals 1

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228.

Find space dy over dx where space space xy plus xe to the power of negative straight y end exponent plus ye to the power of straight x equals straight x squared

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229.

Find space dy over dx when space xy plus xe to the power of negative straight y end exponent plus ye to the power of straight x equals straight x squared

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230.

Find space dy over dx space when space ax squared plus 2 hx space plus by squared plus 2 gx plus 2 fy plus straight c equals 0

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