Derivative of (x-5y)^(7x)

Derivative of (x-5y)^(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 (x-5y)^(7x):


((x-(5*y))^(7*x))'

(x-(5*y))^(7*x)*((7*x)'*ln(x-(5*y))+(7*x*(x-(5*y))')/(x-(5*y)))

(x-(5*y))^(7*x)*((7*x)'*ln(x-(5*y))+(7*x*((x)'+(-(5*y))'))/(x-(5*y)))

(x-(5*y))^(7*x)*((7*x)'*ln(x-(5*y))+(7*x*((-(5*y))'+1))/(x-(5*y)))

(x-(5*y))^(7*x)*((7*x)'*ln(x-(5*y))+(7*x*1)/(x-(5*y)))

(x-(5*y))^(7*x)*(((7)'*x+7*(x)')*ln(x-(5*y))+(7*x*1)/(x-(5*y)))

(x-(5*y))^(7*x)*((0*x+7*(x)')*ln(x-(5*y))+(7*x*1)/(x-(5*y)))

(x-(5*y))^(7*x)*((0*x+7*1)*ln(x-(5*y))+(7*x*1)/(x-(5*y)))

(x-(5*y))^(7*x)*(7*ln(x-(5*y))+(7*x*1)/(x-(5*y)))

(x-(5*y))^((7)'*x+7*(x)')

(x-(5*y))^(0*x+7*(x)')

(x-(5*y))^(0*x+7*1)

((x)'+(-(5*y))')^(7*x)

((-(5*y))'+1)^(7*x)

(x-(5*y))^(7*x)*(7*ln(x-(5*y))+(7*x)/(x-(5*y)))

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

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