Derivative of ln((7x+8)/(4x+8))

Derivative of ln((7x+8)/(4x+8)). 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 ln((7x+8)/(4x+8)): 


(ln((7*x+8)/(4*x+8)))'

(1/((7*x+8)/(4*x+8)))*((7*x+8)/(4*x+8))'

(1/((7*x+8)/(4*x+8)))*(((7*x+8)'*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((((7*x)'+(8)')*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*(((7*(x)'+(7)'*x+(8)')*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*(((7*(x)'+0*x+(8)')*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*(((0*x+7*1+(8)')*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*(((0+7)*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*(4*x+8)'))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*((4*x)'+(8)')))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*(4*(x)'+(4)'*x+(8)')))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*(4*(x)'+0*x+(8)')))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*(0*x+4*1+(8)')))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*(0+4)))/((4*x+8)^2))

(1/((7*x+8)/(4*x+8)))*((7*(4*x+8)-((7*x+8)*4))/((4*x+8)^2))

(7*(4*x+8)-(4*(7*x+8)))*(4*x+8)^-1*(7*x+8)^-1

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

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