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If f(x) = (x - 1)/(4) + ((x - 1)^(2))/(1...

If` f(x) = (x - 1)/(4) + ((x - 1)^(2))/(12) + ((x -1)^(5))/(20) + ((x -1)^(7))/(28) + ... `
where ` 0 lt x lt 2 ` , then f'(x) is equal to

A

`1/(4x(2-x))`

B

`1/(4x(2-x)^2)`

C

`1/(2-x)`

D

`1/(2+x)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

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    0
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    done not exist

  • If f(x)=sqrt(x-4sqrt(x-4))+tan^(-1)((1-2x)/(2+x)), AA 4 lt x lt 8 , then the value of f'(5) is equal to

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