Derivative of 3(sin((x*pi)/12))

Derivative of 3(sin((x*pi)/12)). 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 3(sin((x*pi)/12)): 


(3*sin((pi*x)/12))'

(3)'*sin((pi*x)/12)+3*(sin((pi*x)/12))'

0*sin((pi*x)/12)+3*(sin((pi*x)/12))'

0*sin((pi*x)/12)+3*cos((pi*x)/12)*((pi*x)/12)'

0*sin((pi*x)/12)+3*cos((pi*x)/12)*(((pi*x)'*12-(pi*x*(12)'))/(12^2))

0*sin((pi*x)/12)+3*cos((pi*x)/12)*((((pi)'*x+pi*(x)')*12-(pi*x*(12)'))/(12^2))

0*sin((pi*x)/12)+3*cos((pi*x)/12)*(((0*x+pi*(x)')*12-(pi*x*(12)'))/(12^2))

0*sin((pi*x)/12)+3*cos((pi*x)/12)*(((0*x+pi*1)*12-(pi*x*(12)'))/(12^2))

0*sin((pi*x)/12)+3*cos((pi*x)/12)*((pi*12-(pi*x*(12)'))/(12^2))

0*sin((pi*x)/12)+3*cos((pi*x)/12)*((pi*12-(pi*x*0))/(12^2))

0*sin((pi*x)/12)+3*(pi/12)*cos((pi*x)/12)

0*sin((pi*x)/12)+3*((pi*cos((pi*x)/12))/12)

(1/4)*pi*cos((pi*x)/12)

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

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