Derivative of sin(6/x-8)

Derivative of sin(6/x-8). 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 sin(6/x-8): 


(sin(6/x-8))'

cos(6/x-8)*(6/x-8)'

cos(6/x-8)*((6/x)'+(-8)')

cos(6/x-8)*(((6)'*x-(6*(x)'))/(x^2)+(-8)')

cos(6/x-8)*((0*x-(6*(x)'))/(x^2)+(-8)')

cos(6/x-8)*((0*x-(6*1))/(x^2)+(-8)')

cos(6/x-8)*(0-6/(x^2))

(-6/(x^2))*cos(6/x-8)

(-6*cos(6/x-8))/(x^2)

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

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