Derivative of cos(pi*x/6)

Derivative of cos(pi*x/6). 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 cos(pi*x/6): 


(cos((pi*x)/6))'

-sin((pi*x)/6)*((pi*x)/6)'

-sin((pi*x)/6)*(((pi*x)'*6-(pi*x*(6)'))/(6^2))

-sin((pi*x)/6)*((((pi)'*x+pi*(x)')*6-(pi*x*(6)'))/(6^2))

-sin((pi*x)/6)*(((0*x+pi*(x)')*6-(pi*x*(6)'))/(6^2))

-sin((pi*x)/6)*(((0*x+pi*1)*6-(pi*x*(6)'))/(6^2))

-sin((pi*x)/6)*((pi*6-(pi*x*(6)'))/(6^2))

-sin((pi*x)/6)*((pi*6-(pi*x*0))/(6^2))

(pi/6)*(-sin((pi*x)/6))

(-(pi*sin((pi*x)/6)))/6

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

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