Derivative of e^(-x)^6

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Derivative of e^(-x)^6: 


(e^((-x)^6))'

e^((-x)^6)*(((-x)^6)'*ln(e)+((-x)^6*(e)')/e)

e^((-x)^6)*(((-x)^6)'*ln(e)+((-x)^6*0)/e)

e^((-x)^6)*(6*(-x)^(6-1)*ln(e)+((-x)^6*0)/e)

e^((-x)^6)*(6*(-x^5)*ln(e)+((-x)^6*0)/e)

e^(6*(-x)^(6-1))

0^((-x)^6)

6*(-x)^5*e^(x^6)

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

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