Derivative of 100(e^(-x/150))

Derivative of 100(e^(-x/150)). 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 100(e^(-x/150)):


(100*e^(-x/150))'

(100)'*e^(-x/150)+100*(e^(-x/150))'

0*e^(-x/150)+100*(e^(-x/150))'

0*e^(-x/150)+100*e^(-x/150)*((-x/150)'*ln(e)+((-x/150)*(e)')/e)

0*e^(-x/150)+100*e^(-x/150)*((-x/150)'*ln(e)+((-x/150)*0)/e)

0*e^(-x/150)+100*e^(-x/150)*((((-x)'*150-(-x*(150)'))/(150^2))*ln(e)+((-x/150)*0)/e)

0*e^(-x/150)+100*e^(-x/150)*(((-1*150-(-x*(150)'))/(150^2))*ln(e)+((-x/150)*0)/e)

0*e^(-x/150)+100*e^(-x/150)*(((-1*150-(-x*0))/(150^2))*ln(e)+((-x/150)*0)/e)

0*e^(-x/150)+100*e^(-x/150)*(((-x/150)*0)/e-1/150*ln(e))

0*e^(-x/150)+100*e^(((-x)'*150-(-x*(150)'))/(150^2))

0*e^(-x/150)+100*e^((-1*150-(-x*(150)'))/(150^2))

0*e^(-x/150)+100*e^((-1*150-(-x*0))/(150^2))

0*e^(-x/150)+100*0^(-x/150)

0*e^(-x/150)+100*-1/150*e^(-x/150)

(-2/3)*e^(-x/150)

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

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