Derivative of e^7x/e^-x

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Derivative of e^7x/e^-x: 


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

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

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

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

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

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

(e^7*e^-x-(e^7*x*ln(e)*e^-x))/((e^-x)^2)

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

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

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

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