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If y=5^(x) sec^(-1)x,"then " dy/dx=...

If `y=5^(x) sec^(-1)x,"then " dy/dx=`

A

` 5^(x) ((log 5 )sec^(-1)2x +(1)/(xsqrt( 4x^(2)-1) ) ) `

B

` 5^(x) ((log 5 )sec^(-1)2x +(2)/(xsqrt( 4x^(2)-1) ) ) `

C

` 5^(x) ((log 5 )sec^(-1)2x +(1)/(2xsqrt( 4x^(2)-1) ) ) `

D

` 5^(x) ((log 5 )sec^(-1)2x +(1)/(xsqrt( 4x^(2)-1) ) ) `

Text Solution

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The correct Answer is:
C
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