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(5*ln(x-5))'The calculation above is a derivative of the function f (x)

(5)'*ln(x-5)+5*(ln(x-5))'

0*ln(x-5)+5*(ln(x-5))'

0*ln(x-5)+5*(1/(x-5))*(x-5)'

0*ln(x-5)+5*(1/(x-5))*((x)'+(-5)')

0*ln(x-5)+5*((-5)'+1)*(1/(x-5))

0*ln(x-5)+5*(0+1)*(1/(x-5))

0*ln(x-5)+5*(1/(x-5))

5/(x-5)

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