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d/dx sq rt. lnx(x^2+X)find the derivatives. The sq rt is continous over the entire...
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`y = sqrt(lnx(x^2+x))`
Let `lnx(x^2+x) = u`
`y = sqrt(u)`
`(dy)/(dx) = 1/2 xx u^(-1/2) xx (du)/(dx)`
`(dy)/(dx) = 1/(2sqrt(u)) xx (du)/(dx)`
`(du)/(dx) = lnx(2x+1) + 1/x (x^2+x)`
`(du)/(dx) = lnx(2x+1) + (x+1)`
`(dy)/(dx) = 1/(2sqrt(lnx(x^2+x))) xx (lnx(2x+1)+x+1)`
Posted by thilina-g on June 18, 2012 at 9:47 AM (Answer #1)
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