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The derivative of: f(x)=ln(x^2+1)^3

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jmg5639 | Student, Undergraduate | Honors

Posted July 9, 2013 at 5:26 PM via web

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The derivative of: f(x)=ln(x^2+1)^3

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 9, 2013 at 5:37 PM (Answer #1)

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The derivative of `f(x) = ln((x^2 + 1)^3)` has to be determined.

`f(x) = ln((x^2 + 1)^3)`

=> `f(x) = 3*ln(x^2 + 1)`

`f'(x) = (3/(x^2 + 1))*2x`

=> `f'(x) = (6x)/(x^2 + 1)`

The derivative of ` f(x) = ln((x^2 + 1)^3)` is `f'(x) = (6x)/(x^2 + 1)`

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