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If x=(t+1/t)^a ,y=a^(t+1/t),"f i n d"(dy...

If `x=(t+1/t)^a ,y=a^(t+1/t),"f i n d"(dy)/(dx)`

A

` (a^((t+( 1)/(t)))(log a))/( (t+ ( 1)/( t))^(a-1))`

B

` ( a (t+(1)/(t) )(loga))/( (t+(1)/(t))^(1-a)) `

C

` (a^( (t+ ( 1)/( t)-1))(log a))/( (t+ (1)/(t))^((a-1)) ) `

D

` (a^(t+( 1)/(t) -1)(log a))/( (t+(1)/(t)) ^((1-a)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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