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f(x)=((a+x)/(1+x))^(a+1+2x) show that f'...

`f(x)=((a+x)/(1+x))^(a+1+2x)` show that `f'(0)=a^(a+1)(2loga+(1-a^2)/a)`

A

`a^(a+1)`

B

`a^(a+1){(1-a^(2))/a+2loga}`

C

2loga

D

`a^(a+1){(1+a)^(2)/(a-2loga)}`

Text Solution

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The correct Answer is:
B
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