Important Questions of Continuity and Differentiability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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351. Differentiate the following functions w.r.t.x: sin left parenthesis straight x space straight y right parenthesis plus straight x over straight y equals straight x squared minus straight y
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352. Differentiate the following functions w.r.t.x:
 tan left parenthesis straight x plus straight y right parenthesis plus tan left parenthesis straight x minus straight y right parenthesis equals 1
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353. Differentiate the following functions w.r.t.x:
log square root of straight x squared plus straight y squared end root equals tan to the power of negative 1 end exponent straight y over straight x
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354. Differentiate the following functions w.r.t.x: 
straight x cubed plus straight y cubed equals sin left parenthesis straight x plus straight y right parenthesis
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355. Find space dy over dx when space straight x equals straight a left parenthesis straight theta plus sinθ right parenthesis comma space straight y equals straight a left parenthesis 1 minus cosθ right parenthesis
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356. Find space dy over dx space when space straight x equals straight a left parenthesis 1 minus cosθ right parenthesis comma space straight y equals straight a left parenthesis straight theta plus sinθ right parenthesis
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357. Find space dy over dx when space straight x equals straight a space sinθ comma space straight y equals straight a open parentheses cosθ plus log space tan straight theta over 2 close parentheses
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358. Find space dy over dx space when space straight x equals cos cubed straight theta comma space straight y equals straight b space sin cubed straight theta
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359. If space space straight x equals straight a left parenthesis 1 minus cosθ right parenthesis comma space straight y equals straight a left parenthesis 1 plus sinθ right parenthesis comma space find dy over dx comma
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360. Find space dy over dx when space straight x equals straight a left parenthesis straight theta plus sinθ right parenthesis comma space straight y equals straight a left parenthesis 1 plus cosθ right parenthesis.
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