[{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [f(x) - g(x)]' spr\u00e1vna?","answers":["f(x)' * g(x)'","f(x)' - g(x)'","f(x)' + g(x)'","f(x)' : g(x)'"],"correct":"f(x)' - g(x)'","order":"1"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [f(x) : g(x)]' spr\u00e1vna?","answers":["[f'(x)*g(x) - f(x)*g'(x)]\/[g(x)]2<\/sup>","[f'(x)*g(x) + f(x)*g'(x)]\/[g(x)]2<\/sup>","[f'(x)*g(x) * f(x)*g'(x)]\/[g(x)]2<\/sup>","[f'(x)*g(x) : f(x)*g'(x)]\/[g(x)]2<\/sup>"],"correct":"[f'(x)*g(x) - f(x)*g'(x)]\/[g(x)]2<\/sup>","order":"2"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [arccos x]' spr\u00e1vna?","answers":["\u221a(1 - x2<\/sup>)","(sin x)\/\u221a(1 - x2<\/sup>)","(-1\/\u221a(1 - x2<\/sup>))","1\/\u221a(1 - x2<\/sup>)"],"correct":"(-1\/\u221a(1 - x2<\/sup>))","order":"3"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [sin x]' spr\u00e1vna?","answers":["(- sin x)","cos x","tg x","(- cos x)"],"correct":"cos x","order":"4"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [c*f(x)]' spr\u00e1vna? c je kon\u0161tanta","answers":["c' * f'(x)","c*f(x)","c' * f(x)","c*f'(x)"],"correct":"c*f'(x)","order":"5"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [loga<\/sub> x]' spr\u00e1vna?","answers":["1\/(x* ln a)","1\/(ln x)","a*log (x)","1\/ (log x)"],"correct":"1\/(x* ln a)","order":"6"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [xn<\/sup>]' spr\u00e1vna?","answers":["n*x","n*xn<\/sup>","n*xn-1<\/sup>","xn-1<\/sup>"],"correct":"n*xn-1<\/sup>","order":"7"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [tg x]' spr\u00e1vna?","answers":["(-1\/(cos2<\/sup> x))","(1\/(sin2<\/sup> x))","(1\/(cos2<\/sup> x))","(-1\/(sin2<\/sup> x))"],"correct":"(1\/(cos2<\/sup> x))","order":"8"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [f(g(x))]' spr\u00e1vna?","answers":["f'(g(x)) + g'(x)","f'(g(x))","f'(g(x)) * g'(x)","g'(x)"],"correct":"f'(g(x)) * g'(x)","order":"9"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [fn<\/sup>(x)]' spr\u00e1vna?","answers":["n*fn<\/sup>(x)*f'(x)","fn-1<\/sup>(x)*f'(x)","n*fn-1<\/sup>(x)","n*fn-1<\/sup>(x)*f'(x)"],"correct":"n*fn-1<\/sup>(x)*f'(x)","order":"10"}]