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Consider the function f(x)=e^(-2x)sin2x ...

Consider the function `f(x)=e^(-2x)sin2x` over the interval `(0,pi/2)`. A real number `c in(0,pi/2)`, as guaranteed by Rolle's theorem such that `f'(c)=0,` is

A

`pi/8`

B

`pi/6`

C

`pi/4`

D

`pi/3`

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The correct Answer is:
A
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