Derivative of Ln(2^(1/x-1))

Derivative of Ln(2^(1/x-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 Ln(2^(1/x-1)): 


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

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

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

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

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

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

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

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

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

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

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

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

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

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

(1/(2^(1/x-1)))*2^(0-1/(x^2))

(1/(2^(1/x-1)))*0^(0-1/(x^2))

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

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

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