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(sin((pi*x)/2)-1)'The calculation above is a derivative of the function f (x)

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

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

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

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

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

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

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

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

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

(pi*cos((pi*x)/2))/2+0

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

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