{"interactiveVideo":{"video":{"startScreenOptions":{"title":"Interactive Video","hideStartTitle":false},"textTracks":{"videoTrack":[{"label":"Subtitles","kind":"subtitles","srcLang":"en"}]},"files":[{"path":"https:\/\/www.youtube.com\/watch?v=thF-8iK-tTw","mime":"video\/YouTube","copyright":{"license":"U"}}]},"assets":{"interactions":[{"x":47.797356828193834,"y":46.08610567514677,"width":10,"height":10,"duration":{"from":60.011,"to":65.01},"libraryTitle":"Multiple Choice","action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

It's decreasing.<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

It's increasing.<\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

It's decreasing then increasing.<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

It's increasing then decreasing.<\/div>\n"}],"overallFeedback":[{"from":0,"to":100,"feedback":"the distance between P and a point with x-coordinate very big or very small are both close to infinity."}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution"},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

If you are going to make a guess about how the distance between P and a point on the straight line is going to change, what would it be? Assume the point on the straight line \\(y=2x\\) will travel from the rightmost of x-axis, to the leftmost of x-axis.<\/p>\n"},"subContentId":"5d6cb467-3c29-4949-b9ae-6cd94610ad69","metadata":{"contentType":"Multiple Choice","license":"U","title":"How is the distance changing?"}},"pause":true,"displayType":"button","buttonOnMobile":false,"adaptivity":{"correct":{"allowOptOut":false,"message":""},"wrong":{"allowOptOut":false,"message":""},"requireCompletion":false},"label":"

MCQ<\/p>\n"},{"x":47.797356828193834,"y":46.08610567514677,"width":10,"height":10,"duration":{"from":160.414,"to":163.414},"libraryTitle":"True\/False Question","action":{"library":"H5P.TrueFalse 1.8","params":{"media":{"disableImageZooming":false},"correct":"true","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false},"l10n":{"trueText":"True","falseText":"False","score":"You got @score of @total points","checkAnswer":"Check","showSolutionButton":"Show solution","tryAgain":"Retry","wrongAnswerMessage":"Wrong answer","correctAnswerMessage":"Correct answer","scoreBarLabel":"You got :num out of :total points"},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

The function \\(D(x,y) = \\sqrt{x^2+ (y-1)^2}.\\)<\/p>\n"},"subContentId":"4e043260-e809-44af-9415-1d8d7a46737f","metadata":{"contentType":"True\/False Question","license":"U","title":"True\/False Question"}},"pause":true,"displayType":"button","buttonOnMobile":false,"adaptivity":{"correct":{"allowOptOut":false,"message":""},"wrong":{"allowOptOut":false,"message":""},"requireCompletion":false},"label":"

True or False?<\/p>\n"},{"x":47.797356828193834,"y":46.08610567514677,"width":10,"height":10,"duration":{"from":305.875,"to":315.875},"libraryTitle":"Multiple Choice","action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

Yes we do since we have a fraction, and when the denominator of a fraction is equal to 0, the fraction is not defined. <\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

No we don't: even though we have a fraction, its denominator is never 0 in this example.<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

I have no idea......<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution"},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

We know that a critical number of a function \\(f\\) is a number \\(c\\) in the domain of \\(f\\) such that either \\(f^\\prime (c) =0\\) or \\(f^\\prime(c)\\) does not exist. In this example, do we need to worry about the case when the derivative does not exist?<\/p>\n"},"subContentId":"0c8c2be6-3d19-4c7a-9352-5cce17ac6938","metadata":{"contentType":"Multiple Choice","license":"U","title":"Multiple Choice: critical point"}},"pause":true,"displayType":"button","buttonOnMobile":false,"adaptivity":{"correct":{"allowOptOut":false,"message":""},"wrong":{"allowOptOut":false,"message":""},"requireCompletion":false},"label":"

MCQ<\/p>\n"},{"x":47.3568281938326,"y":46.96673189823874,"width":10,"height":10,"duration":{"from":385.493,"to":395.493},"libraryTitle":"Drag Text","action":{"library":"H5P.DragText 1.10","params":{"taskDescription":"

Drag Text to the right position.<\/p>\n\n

Drag and drop.<\/p>\n"}],"endscreens":[{"time":0,"label":"0:00 Submit screen"},{"time":652.301,"label":"10:52 Submit screen"}]},"summary":{"task":{"library":"H5P.Summary 1.10","params":{"intro":"

What method did we use in this video to tell a local maximum from a local minimum point when we know \\(f^\\prime (c) =0\\)? <\/p>\n","summaries":[{"subContentId":"5c17763e-8751-4ced-9cf8-0840a8940742","tip":"","summary":["

The first derivative test.<\/p>\n","

The second derivative test.<\/p>\n","

Fermat's Theorem.<\/p>\n"]}],"overallFeedback":[{"from":0,"to":100}],"solvedLabel":"Progress:","scoreLabel":"Wrong answers:","resultLabel":"Your result","labelCorrect":"Correct.","labelIncorrect":"Incorrect! Please try again.","alternativeIncorrectLabel":"Incorrect","labelCorrectAnswers":"Correct answers.","tipButtonLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","progressText":"Progress :num of :total"},"subContentId":"f645511b-5d37-4ad0-a598-268d89f64f3b","metadata":{"contentType":"Summary","license":"U","title":"Summary"}},"displayAt":5}},"override":{"autoplay":false,"loop":false,"showBookmarksmenuOnLoad":false,"showRewind10":false,"deactivateSound":false,"preventSkippingMode":"none"},"l10n":{"interaction":"Interaction","play":"Play","pause":"Pause","mute":"Mute","unmute":"Unmute","quality":"Video Quality","captions":"Captions","close":"Close","fullscreen":"Fullscreen","exitFullscreen":"Exit Fullscreen","summary":"Open summary dialog","bookmarks":"Bookmarks","endscreen":"Submit screen","defaultAdaptivitySeekLabel":"Continue","continueWithVideo":"Continue with video","playbackRate":"Playback Rate","rewind10":"Rewind 10 Seconds","navDisabled":"Navigation is disabled","sndDisabled":"Sound is disabled","requiresCompletionWarning":"You need to answer all the questions correctly before continuing.","back":"Back","hours":"Hours","minutes":"Minutes","seconds":"Seconds","currentTime":"Current time:","totalTime":"Total time:","singleInteractionAnnouncement":"Interaction appeared:","multipleInteractionsAnnouncement":"Multiple interactions appeared.","videoPausedAnnouncement":"Video is paused","content":"Content","answered":"@answered answered","endcardTitle":"@answered Question(s) answered","endcardInformation":"You have answered @answered questions, click below to submit your answers.","endcardInformationNoAnswers":"You have not answered any questions.","endcardInformationMustHaveAnswer":"You have to answer at least one question before you can submit your answers.","endcardSubmitButton":"Submit Answers","endcardSubmitMessage":"Your answers have been submitted!","endcardTableRowAnswered":"Answered questions","endcardTableRowScore":"Score","endcardAnsweredScore":"answered","endCardTableRowSummaryWithScore":"You got @score out of @total points for the @question that appeared after @minutes minutes and @seconds seconds.","endCardTableRowSummaryWithoutScore":"You have answered the @question that appeared after @minutes minutes and @seconds seconds."}}

Interactive video: optimization part II

Xinli Wang