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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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223.

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

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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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Here space space ax squared plus 2 hxy plus by squared plus 2 gx plus 2 fy plus straight c equals 0 Differentiatinfg space both space sides space straight w. straight r. straight t. straight x comma space we space get comma space 2 ax plus 2 straight h open parentheses straight x dy over dx plus straight y.1 close parentheses plus 2 by dy over dx plus 2 straight g.1 plus 2 straight f plus 0 equals 0 therefore space ax plus hx dy over dx plus hy plus by dy over dx plus straight g plus straight f dy over dx equals 0 therefore space left parenthesis hx plus by plus straight f right parenthesis dy over dx equals negative left parenthesis ax plus hy plus straight g right parenthesis rightwards double arrow space dy over dx equals negative fraction numerator ax plus hy plus straight g over denominator hx plus by plus straight f end fraction

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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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