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If y=|sinx|^(|x|), then what is the valu...

If `y=|sinx|^(|x|)`, then what is the value of `(dy)/(dx)` at `x=-(pi)/(6)` ?

A

`(2^(-pi/6)(6ln2-sqrt(3)pi))/(6)`

B

`(2^(pi/6)(6ln2+sqrt(3)pi))/(6)`

C

`(2^(-pi/6)(6ln2+sqrt(3)pi))/(6)`

D

`(2pi/6(6ln2+sqrt(3)pi))/(6)`

Text Solution

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The correct Answer is:
A
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