Derivative of 1/2ln(9-x2)

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Derivative of 1/2ln(9-x2):


((1/2)*ln(9-x^2))'

(1/2)'*ln(9-x^2)+(1/2)*(ln(9-x^2))'

0*ln(9-x^2)+(1/2)*(ln(9-x^2))'

0*ln(9-x^2)+(1/2)*(1/(9-x^2))*(9-x^2)'

0*ln(9-x^2)+(1/2)*(1/(9-x^2))*((-x^2)'+(9)')

0*ln(9-x^2)+(1/2)*(1/(9-x^2))*(2*x^(2-1)+(9)')

0*ln(9-x^2)+(1/2)*(1/(9-x^2))*(0-2*x)

0*ln(9-x^2)+(1/2)*((-2*x)/(9-x^2))

-(x*(9-x^2)^-1)

The calculation above is a derivative of the function f (x)

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