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If f'(x^2-4x+3)gt0 " for all " x in (2,...

If `f'(x^2-4x+3)gt0 " for all " x in (2,3) `then f(sinx) is increasing on

A

`x in (0, pi)`

B

`x in (0, (pi)/(2))`

C

`x in (pi, (5pi)/(4))`

D

`x in ((3pi)/(2), 2pi)`

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The correct Answer is:
D
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