Grades
1-5
6
7
8
9
10
11
12
Toggle navigation
Grades
Math Practice
Learn
Worksheets
Reports
Awards
Sign In
Register
Home
Math Practice
Differential calculus
Differential calculus
All
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":28624,"QuestionText":"\\frac{d}{dx}( -7x )","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":"-7","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"-7x","Opt2":"0","Opt3":"x","Opt4":"-7","QuestionId":28624},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28624,"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":28674,"QuestionText":"\\frac{d}{dx}(x^2+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":"2x","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"x","Opt2":"x^2","Opt3":"2x","Opt4":"x+2","QuestionId":28674},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28674,"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":28724,"QuestionText":"$$ Differentiate with respect to x. $$ $$ y =(x+1)(\\sqrt{x}+3)$$","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{3x+1}{2\\sqrt{x}}+3","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"\\frac{dy}{dx} = \\frac{x+1}{2\\sqrt{2x}}+3","Opt2":"\\frac{dy}{dx} = \\frac{3x+1}{2\\sqrt{x}}+3","Opt3":"\\frac{dy}{dx} = \\frac{3x}{2\\sqrt{x}}+3","Opt4":"\\frac{dy}{dx} = \\frac{3x+1}{2}+3","QuestionId":28724},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28724,"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":28774,"QuestionText":"$$Find the derivatives using division differential rule.$$ $$ y =\\frac{x}{(x^2+1)} $$","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} = \\frac{-x^2+1}{(x^2+1)^2}","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":"\\frac{dy}{dx} = \\frac{-x^2+1}{(x^2+1)}","Opt2":"\\frac{dy}{dx} = \\frac{-x^2-1}{(x^2-1)^2}","Opt3":"\\frac{dy}{dx} = \\frac{-x^2+1}{(x^2+1)^2}","Opt4":"\\frac{dy}{dx} = \\frac{x^2+1}{(x^2-1)^2}","QuestionId":28774},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":28774,"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}
Learn integers
Practice math skills
© 2017
iPracticeMath
| All Rights Reserved |
Terms of Use.