[{"question":"Zderivujte: [(x2<\/sup>)\/(x+1)]","answers":["(x+2)\/[(x+1)2<\/sup>]","[x*(x+2)]\/[(x-1)2<\/sup>]","[x*(x-2)]\/[(x+1)2<\/sup>]","[x*(x+2)]\/[(x+1)2<\/sup>]"],"correct":"[x*(x+2)]\/[(x+1)2<\/sup>]","order":"1"},{"question":"Zderivujte: 2*(ex<\/sup>)*(x2<\/sup>)","answers":["2*(ex<\/sup>)*(x+2)","(ex<\/sup>)*x*(x+2)","2*(ex<\/sup>)*x*(x-2)","2*(ex<\/sup>)*x*(x+2)"],"correct":"2*(ex<\/sup>)*x*(x+2)","order":"2"},{"question":"Zderivujte: [(x+1)\/(x-1)]","answers":["{-2\/[(x-1)2<\/sup>]}","2\/[(x-1)2<\/sup>]","{-2\/[(x+1)2<\/sup>]}","{-2x\/[(x-1)2<\/sup>]}"],"correct":"{-2\/[(x-1)2<\/sup>]}","order":"3"},{"question":"Zderivujte: 2(sin x)<\/sup>","answers":["[2(sin x)<\/sup>]*[ln (2)]*[-cos (x)]","[2(sin x)<\/sup>]*[ln (2)]*sin (x)","[2(sin x)<\/sup>]*[ln (2)]*cos (x)","[2(cos x)<\/sup>]*[ln (2)]*cos (x)"],"correct":"[2(sin x)<\/sup>]*[ln (2)]*cos (x)","order":"4"},{"question":"Zderivujte: cos [3*(x2<\/sup>)]","answers":["6x*sin [3(x2<\/sup>)]","{-6*sin [3(x2<\/sup>)]}","{-6x*cos [3(x2<\/sup>)]}","{-6x*sin [3(x2<\/sup>)]}"],"correct":"{-6x*sin [3(x2<\/sup>)]}","order":"5"},{"question":"Hodnota deriv\u00e1cie funkcie y = (x2<\/sup>) \u2013 2x + 1 v bode 0 je","answers":["2","-2","1","-1"],"correct":"-2","order":"6"},{"question":"Zderivujte: ln (sin x)","answers":["cotg x","sin x","cos x","tg x"],"correct":"cotg x","order":"7"},{"question":"Hodnota deriv\u00e1cie funkcie y = (sin x)\/x v bode (\u03c0\/2) je","answers":["4","[-4\/(\u03c02<\/sup>)]","4\/(\u03c02<\/sup>)","[-(\u03c02<\/sup>)\/4]"],"correct":"[-4\/(\u03c02<\/sup>)]","order":"8"},{"question":"Zderivujte: sin2<\/sup>(3x + 4)","answers":["3*sin(6x - 8)","3*sin(6x + 8)","3*cos(6x + 8)","[-3*sin(6x + 8)]"],"correct":"3*sin(6x + 8)","order":"9"},{"question":"Zderivujte: \u221ax","answers":["1\/(2*\u221ax)","1\/(2*x)","\u00bd","2*\u221ax"],"correct":"1\/(2*\u221ax)","order":"10"}]