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anonymous
 5 years ago
if for all x>0, G(x)= \[\int\limits_{1}^{x}\sin (\ln 2t)dt\] , then the value of G''(1/2) is?
anonymous
 5 years ago
if for all x>0, G(x)= \[\int\limits_{1}^{x}\sin (\ln 2t)dt\] , then the value of G''(1/2) is?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0first derivative is \[\sin(\ln(2x))\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0second derivative is \[cos(\ln(2x))\times \frac{1}{x}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0plug in \[\frac{1}{2}\] get \[cos(\ln(1))\times 2=cos(0)\times 2 = 1\times2 = 2\]
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