Derivative of (x*ln(x))/(cos(x))

Derivative of (x*ln(x))/(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 (x*ln(x))/(cos(x)): 


((x*ln(x))/cos(x))'

((x*ln(x))'*cos(x)-(x*ln(x)*(cos(x))'))/((cos(x))^2)

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

((1*ln(x)+x*(ln(x))')*cos(x)-(x*ln(x)*(cos(x))'))/((cos(x))^2)

((1*ln(x)+x*(1/x))*cos(x)-(x*ln(x)*(cos(x))'))/((cos(x))^2)

((ln(x)+1)*cos(x)-(x*ln(x)*(cos(x))'))/((cos(x))^2)

((ln(x)+1)*cos(x)-(x*ln(x)*(-sin(x))))/((cos(x))^2)

((ln(x)+1)*cos(x)+x*sin(x)*ln(x))/((cos(x))^2)

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

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