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Q.

y=2ax and dydx=log 256 at x=1 then a = 

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answer is 2.

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Detailed Solution

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The given function is y=2ax

Differentiate both sides with respect to x

dydx=ddx2ax =2axalog2

Given that  dydxat x=1 is log256=log28=8log2

Hence, 

  a2a=8 =222

Therefore, a=2

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y=2ax and dydx=log 256 at x=1 then a =