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

Derivative of 1/(e^(2x)-1)^(1/2). 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/(e^(2x)-1)^(1/2):


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(e^(2*x)-1)^(-3/2)*e^(2*x)

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

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