Derivative of 8sin(x/2)

Derivative of 8sin(x/2). 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 8sin(x/2): 


(8*sin(x/2))'

(8)'*sin(x/2)+8*(sin(x/2))'

0*sin(x/2)+8*(sin(x/2))'

0*sin(x/2)+8*cos(x/2)*(x/2)'

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

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

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

0*sin(x/2)+8*1/2*cos(x/2)

4*cos(x/2)

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

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