Important Questions of Continuity and Differentiability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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261. Differentiate x.logx.log(log x)w.r.t.x.
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262. If space straight x to the power of straight p. straight y to the power of straight q equals left parenthesis straight x plus straight y right parenthesis to the power of straight p plus straight q end exponent comma space show space that space dy over dx equals straight y over straight x
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 Multiple Choice QuestionsLong Answer Type

263. Differentiate xlog x + (log x)x w.r.t.x 
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 Multiple Choice QuestionsShort Answer Type

264. Differentiate the following functions w.r.t. x : straight x to the power of straight x plus straight x to the power of log space straight x end exponent
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265. Differentiate the following functions w.r.t. x :
left parenthesis log space straight x right parenthesis to the power of straight x plus straight x to the power of log space straight x end exponent
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266. Differentiate the following functions w.r.t. x :
open parentheses straight x plus 1 over straight x close parentheses to the power of straight x plus straight x to the power of open parentheses straight x plus 1 over straight x close parentheses end exponent
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267. Differentiate the following functions w.r.t. x :straight x to the power of straight x to the power of 2 minus 3 end exponent end exponent plus left parenthesis straight x minus 3 right parenthesis to the power of straight x squared end exponent space for space straight x greater than 3
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268. Differentiate the following w.r.t. x :(log x)log x + (1 + x)2x
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269. Differentiate the following w.r.t. x :
     xx + x1/x
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270.

Differentiate the following w.r.t. x 
   xx + (1 + x)log x

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