Derivative of (2X)/e^(7x)

Derivative of (2X)/e^(7x). 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 (2X)/e^(7x):


((2*X)/(e^(7*x)))'

((2*X)'*e^(7*x)-(2*X*(e^(7*x))'))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*(e^(7*x))'))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(7*x)*((7*x)'*ln(e)+(7*x*(e)')/e)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(7*x)*((7*x)'*ln(e)+(7*x*0)/e)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(7*x)*(((7)'*x+7*(x)')*ln(e)+(7*x*0)/e)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(7*x)*((0*x+7*(x)')*ln(e)+(7*x*0)/e)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(7*x)*((0*x+7*1)*ln(e)+(7*x*0)/e)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(7*x)*((7*x*0)/e+7*ln(e))))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^((7)'*x+7*(x)')))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(0*x+7*(x)')))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*e^(0*x+7*1)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*0^(7*x)))/((e^(7*x))^2)

(0*e^(7*x)-(2*X*7*e^(7*x)))/((e^(7*x))^2)

-14*X*e^(-7*x)

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

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