Derivative of (1/2)*cos((x/2))

Derivative of (1/2)*cos((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 (1/2)*cos((x/2)): 


((1/2)*cos(x/2))'

(1/2)'*cos(x/2)+(1/2)*(cos(x/2))'

0*cos(x/2)+(1/2)*(cos(x/2))'

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

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

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

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

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

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

(-1/4)*sin(x/2)

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

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