Настройки
Длительность тренировки
Времени на один вопрос
Ошибки
Здесь появятся ошибки, допущенные во время тренировки.
Уровень освоения тренажера
О тренажере
Производные основных функций
Тренажер поможет быстро разобраться с производными основных функций. Решайте примеры, получайте мгновенную проверку и исправляйте ошибки.
{"buttons":[],"questions":[{"text":"$\\sin(x)$","answer":2,"explanation":"$\\cos(x)$","buttons":["$\\tg(x)$","$-\\cos(x)$","$\\cos(x)$"]},{"text":"$45$","answer":1,"explanation":"$0$","buttons":["$45$","$0$","$1$"]},{"text":"$x^5$","answer":0,"explanation":"$5x^4$","buttons":["$5x^4$","$4x^5$","$1$"]},{"text":"$e^x$","answer":2,"explanation":"$e^x$","buttons":["$1$","$0$","$e^x$"]},{"text":"$\\ln{x}$","answer":0,"explanation":"$1/x$","buttons":["$1/x$","$1/2x$","$\\log x$"]},{"text":"$\\cos x$","answer":2,"explanation":"$- \\sin x$","buttons":["$\\tg x$","$\\sin x$","$-\\sin x$"]},{"text":"$\\tg x$","answer":0,"explanation":"$1/ (\\cos ^2 x)$","buttons":["$1/ (\\cos ^2 x)$","$1/ (\\cos x)$","$\\ctg x$"]},{"text":"$\\ctg x$","answer":1,"explanation":"$-1/(\\sin^2 x)$","buttons":["$1/(\\sin^2 x)$","$-1/(\\sin^2 x)$","$\\tg x$"]},{"text":"$\\sqrt{x}$","answer":2,"explanation":"$1/(2\\sqrt{x})$","buttons":["$1/(\\sqrt{x})$","$2 \\sqrt x$","$1/(2\\sqrt{x})$"]},{"text":"$1/x$","answer":0,"explanation":"$-1/x^2$","buttons":["$-1/x^2$","$1/x^2$","$-2x$"]},{"text":"$2$","answer":1,"explanation":"$0$","buttons":["$2$","$0$","$1$"]},{"text":"$11$","answer":2,"explanation":"$0$","buttons":["$1$","$11$","$0$"]},{"text":"$x^2$","answer":0,"explanation":"$2x$","buttons":["$2x$","$2x^2$","$2$"]},{"text":"$x$","answer":1,"explanation":"$1$","buttons":["$2x$","$1$","$0$"]},{"text":"$x^3$","answer":2,"explanation":"$3x^2$","buttons":["$x^2$","$6$","$3x^2$"]}],"no_uppercase":true}
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