Derivative of (8-e^(-5x))^5

Derivative of (8-e^(-5x))^5. 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 (8-e^(-5x))^5: 


((8-e^(-5*x))^5)'

5*(8-e^(-5*x))^(5-1)*(8-e^(-5*x))'

5*(8-e^(-5*x))^(5-1)*((-e^(-5*x))'+(8)')

5*(8-e^(-5*x))^(5-1)*((8)'-e^(-5*x)*((-5*x)'*ln(e)+(-5*x*(e)')/e))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(-5*x)*((-5*x)'*ln(e)+(-5*x*0)/e))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(-5*x)*(((-5)'*x-5*(x)')*ln(e)+(-5*x*0)/e))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(-5*x)*((0*x-5*(x)')*ln(e)+(-5*x*0)/e))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(-5*x)*((0*x-5*1)*ln(e)+(-5*x*0)/e))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(-5*x)*((-5*x*0)/e-5*ln(e)))

5*(8-e^(-5*x))^(5-1)*((8)'-e^((-5)'*x-5*(x)'))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(0*x-5*(x)'))

5*(8-e^(-5*x))^(5-1)*((8)'-e^(0*x-5*1))

5*(8-e^(-5*x))^(5-1)*((8)'-0^(-5*x))

5*(8-e^(-5*x))^(5-1)*(0-5*e^(-5*x))

5*(8-e^(-5*x))^(5-1)*-5*e^(-5*x)

-25*(8-e^(-5*x))^4*e^(-5*x)

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

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