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

If `y = ((x + 1)^2 sqrt(x - 1) )/((x + 4)^3 e^x) `, then `(dy)/(dx) = `

A

`( (x + 1)^3 sqrt(x - 1) )/((x + 4)^2 e^x) [(2)/(x + 1) + (1)/(2(x - 1) ) - (3)/(x + 4) - 1]`

B

`( (x+1)^2 sqrt(x - 1) )/((x + 4)^3 e^x) [ (2)/(x + 1) + (1)/(2(x - 1) ) + (3)/(x + 4) -1 ]`

C

`( (x + 1)^2 sqrt(x - 1) )/( ( x + 4)^3 e^x ) [(2)/(x + 1) + (1)/(2(x - 1)) - (3)/(x + 4) - 1]`

D

`((x + 1) sqrt( x - 1) )/( (x + 4)^2 e^x) [ (2)/(x + 1) + (1)/(x - 1) - (3)/(4 + x) - 1 ]`

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The correct Answer is:
C
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