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Math Practice
Differential calculus
Differential calculus
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Derivatives of simple functions
Sum differentiation rule
Product differentiation rule
Division differentiation rule
Derivatives of trigonometric functions
Derivatives of inverse trigonometric functions
Differentiation rules for sums, products, and quotients of functions
Differential equations
Logarithm differentiation
Second derivative and chain rule
Mean value theorem
Rates of change and derivative
Applications of differentiation
{"QuestionId":28625,"QuestionText":"\\frac{d}{dx} (\\frac{1}{7}x)","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"\\frac{1}{7}","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"\\frac{1}{7}","Opt2":"\\frac{1}{7x}","Opt3":"\\frac{x}{7}","Opt4":"1","QuestionId":28625},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28625,"SubTopicId":8901,"SubTopic":{"SubTopicId":8901,"SubTopicDesc":"Derivatives of simple functions","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TDCalc","TopicTopicDesc":"Differential calculus","HTMLMetaDataId":null,"IsToolbar":false,"DisplayFormat":"{\"bgColor\":null,\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":null,"IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null,"Grad":null,"Subject":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}
{"QuestionId":28675,"QuestionText":"\\frac{d}{dx}(9x+2)","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"9","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"9","Opt2":"9x","Opt3":"x+2","Opt4":"9x^2","QuestionId":28675},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28675,"SubTopicId":8902,"SubTopic":{"SubTopicId":8902,"SubTopicDesc":"Sum differentiation rule","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TDCalc","TopicTopicDesc":"Differential calculus","HTMLMetaDataId":null,"IsToolbar":false,"DisplayFormat":"{\"bgColor\":null,\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":null,"IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null,"Grad":null,"Subject":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}
{"QuestionId":28725,"QuestionText":"$$ Differentiate with respect to x. $$ $$ y =(x^2 + x +1)(x-1)$$","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"\\frac{dy}{dx} = 3x^2","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"\\frac{dy}{dx} = 3x^2","Opt2":"\\frac{dy}{dx} = 3x","Opt3":"\\frac{dy}{dx} = x^2","Opt4":"\\frac{dy}{dx} = 3x +2","QuestionId":28725},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28725,"SubTopicId":8903,"SubTopic":{"SubTopicId":8903,"SubTopicDesc":"Product differentiation rule","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TDCalc","TopicTopicDesc":"Differential calculus","HTMLMetaDataId":null,"IsToolbar":false,"DisplayFormat":"{\"bgColor\":null,\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":null,"IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null,"Grad":null,"Subject":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}
{"QuestionId":28775,"QuestionText":"$$Find the derivatives using division differential rule.$$ $$ y =\\frac{(x+1)}{x} $$","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":null,\"SubType\":null,\"CorrectAnswerFormat\":null,\"AnswerDisplayFormat\":[\"\"],\"AnswerType\":null}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":null,"Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"\\frac{dy}{dx} = -\\frac{1}{x^2}","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"\\frac{dy}{dx} = -\\frac{1}{x^2}","Opt2":"\\frac{dy}{dx} = -\\frac{1}{x }","Opt3":"\\frac{dy}{dx} = -\\frac{1}{x^4}","Opt4":"\\frac{dy}{dx} = -\\frac{1}{\\sqrt{x}}","QuestionId":28775},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28775,"SubTopicId":8904,"SubTopic":{"SubTopicId":8904,"SubTopicDesc":"Division differentiation rule","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TDCalc","TopicTopicDesc":"Differential calculus","HTMLMetaDataId":null,"IsToolbar":false,"DisplayFormat":"{\"bgColor\":null,\"IsQAtogether\":null,\"IsImage\":null,\"IsGraph\":null,\"IsTable\":null,\"ToolbarType\":{\"type\":null,\"ToolbarList\":[\"\"]}}","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":null,"IsQAtogether":null,"IsImage":null,"IsGraph":null,"IsTable":null,"ToolbarType":{"type":null}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null,"Grad":null,"Subject":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":null,"SubType":null,"CorrectAnswerFormat":null,"AnswerDisplayFormat":[""],"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}
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