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February 21st, 2011, 06:03 AM   #1
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find y'(x) and y''(x) when y is defined with an integral

For x > 0, define

Calculate
and

y''(x) :=
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February 21st, 2011, 07:31 AM   #2
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Re: find y'(x) and y''(x) when y is defined with an integral

For the first derivative, you need to use the product rule. The second factor in the first term will require the fundamental theorem of calculus (substitute logx for t) and the chain rule (differentiate log x). The second term is straightforward.

Show your attempt at the problem and we'll let you know if there are any errors.
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