Derivative of 1/2*ln(2x-1)

Derivative of 1/2*ln(2x-1). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of 1/2*ln(2x-1):


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

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

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

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

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

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

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

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

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

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

1/(2*x-1)

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

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