Derivative of (5-cos(x))/(5+cos(x))

Derivative of (5-cos(x))/(5+cos(x)). 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 (5-cos(x))/(5+cos(x)):


((5-cos(x))/(cos(x)+5))'

((5-cos(x))'*(cos(x)+5)-((5-cos(x))*(cos(x)+5)'))/((cos(x)+5)^2)

(((-cos(x))'+(5)')*(cos(x)+5)-((5-cos(x))*(cos(x)+5)'))/((cos(x)+5)^2)

(((5)'-sin(x))*(cos(x)+5)-((5-cos(x))*(cos(x)+5)'))/((cos(x)+5)^2)

((sin(x)+0)*(cos(x)+5)-((5-cos(x))*(cos(x)+5)'))/((cos(x)+5)^2)

(sin(x)*(cos(x)+5)-((5-cos(x))*(cos(x)+5)'))/((cos(x)+5)^2)

(sin(x)*(cos(x)+5)-((5-cos(x))*((cos(x))'+(5)')))/((cos(x)+5)^2)

(sin(x)*(cos(x)+5)-((5-cos(x))*((5)'-sin(x))))/((cos(x)+5)^2)

(sin(x)*(cos(x)+5)-((5-cos(x))*(0-sin(x))))/((cos(x)+5)^2)

(sin(x)*(cos(x)+5)-((5-cos(x))*(-sin(x))))/((cos(x)+5)^2)

(sin(x)*(cos(x)+5)+sin(x)*(5-cos(x)))/((cos(x)+5)^2)

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

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