[{"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 [ax<\/sup>]' spr\u00e1vna?","answers":["ax<\/sup> * ln a","ax<\/sup> - ln a","ax<\/sup> : ln a","ax<\/sup> + ln a"],"correct":"ax<\/sup> * ln a","order":"2"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [arcsin 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 [cos x]' spr\u00e1vna?","answers":["(- sin x)","sin x","tg x","(- cos x)"],"correct":"(- sin x)","order":"4"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [c]' spr\u00e1vna? c je kon\u0161tanta","answers":["0","x*c","x*cx-1<\/sup>","1"],"correct":"0","order":"5"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [ex<\/sup>]' spr\u00e1vna?","answers":["ex-1<\/sup>","ex<\/sup>","x*ex<\/sup>","x*ex-1<\/sup>"],"correct":"ex<\/sup>","order":"6"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [cotg x]' spr\u00e1vna?","answers":["(-1\/(cos2<\/sup> x))","(1\/(sin2<\/sup> x))","(1\/(cos2<\/sup> x))","(-1\/(sin2<\/sup> x))"],"correct":"(-1\/(sin2<\/sup> x))","order":"7"},{"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":"8"},{"question":"Ktor\u00e1 z uveden\u00fdch mo\u017enost\u00ed je pre deriv\u00e1ciu v\u00fdrazu [ln x]' spr\u00e1vna?","answers":["x","1\/(ln x)","1\/x","1\/ (log x)"],"correct":"1\/x","order":"9"},{"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)","f'(x)*g(x) : f(x)*g'(x)","f'(x)*g(x) * f(x)*g'(x)"],"correct":"f'(x)*g(x) + f(x)*g'(x)","order":"10"}]