CALC help!! derivative of ln (x^8)/ x^2
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CALC help!! derivative of ln (x^8)/ x^2

[From: ] [author: ] [Date: 12-05-09] [Hit: ]
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what is the derivative of ln x^8/ (x^2) ???

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Rewrite as 8ln(x)/x^2 then use the quotient rule

((x^2)(8/x) - 8ln(x)(2x))/x^4 = (8x - 16xln(x))/x^4 = (8(1 - 2ln(x))/x^3

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[x^2 (1/x^8)(8x^7) - (lnx^8) (2x)] / x^4

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d/dx[ln(x^8)/x^2] = d/dx[8*ln(x)/x^2] = 8*(x - 2x*ln(x))/x^4
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