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The derivative of f(x) =int(x^2)^(x^3)1...

The derivative of `f(x) =int_(x^2)^(x^3)1/(log_e(t))dt,(x>0)`, is

A

`(1)/(3logx)`

B

`(1)/(3logx)-(1)/(2logx)`

C

`(logx)^(-1)x(x-1)`

D

`(3x^(2))/(logx)`

Text Solution

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The correct Answer is:
C
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