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If y=cos^(-1) (log(2)x),"then "dy/dx=...

If `y=cos^(-1) (log_(2)x),"then "dy/dx=`

A

` (-log2 )/( xsqrt( (log2 )^(2) - (log x) ^(2))) `

B

` (log2 )/( xsqrt( (log2 )^(2) - (log x) ^(2))) `

C

` (-1 )/( xsqrt( (log2 )^(2) - (log x) ^(2))) `

D

` (1 )/( xsqrt( (log2 )^(2) - (log x) ^(2))) `

Text Solution

Verified by Experts

The correct Answer is:
D
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