Important Questions of Continuity and Differentiability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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371. Differentiate space cos space straight x times cos space 2 straight x. cos 3 straight x space space straight w. straight r. straight t. straight x.
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372. Find space dy over dx comma space if space straight y equals left parenthesis sin space straight x right parenthesis to the power of sin space straight x to the power of sin space straight x... infinity end exponent end exponent
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373. If space straight y equals left parenthesis cos right parenthesis to the power of cos space straight x to the power of cos space straight x..... infinity end exponent end exponent comma space prove space that space dy over dx equals negative fraction numerator straight y squared tan space straight x over denominator 1 minus straight y space log space cos space straight x end fraction
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374. If space straight y equals left parenthesis tan space straight x right parenthesis to the power of tan space straight x to the power of tan space straight x.... infinity end exponent end exponent comma space prove space that space dy over dx equals 2 space at space straight x equals straight pi over 2
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375. Differentiate (log x)cos x w.r.t. x.
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376. Differentiate (log x)sin x w.r.t.x.
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377. Differentiate xsin xw.r.t. (sin x)x
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378.  Differentiate sin x2w.r.t.x2.
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379. Differentiate cos(xx) w.r.t.x.
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380. Differentiate space straight x to the power of tan space straight x end exponent plus square root of fraction numerator straight x squared plus 1 over denominator straight x end fraction end root straight w. straight r. straight t. straight x.
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