Derivative of (sin(pi*x/2))

Derivative of (sin(pi*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 (sin(pi*x/2)):


(sin((pi*x)/2))'

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

cos((pi*x)/2)*(((pi*x)'*2-(pi*x*(2)'))/(2^2))

cos((pi*x)/2)*((((pi)'*x+pi*(x)')*2-(pi*x*(2)'))/(2^2))

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

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

cos((pi*x)/2)*((pi*2-(pi*x*(2)'))/(2^2))

cos((pi*x)/2)*((pi*2-(pi*x*0))/(2^2))

(pi/2)*cos((pi*x)/2)

(pi*cos((pi*x)/2))/2

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

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