[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-571561-105":3,"detail-sidebar-cat-1-en-105":81,"doc-detail-571561-en":127},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","derivative-rules-cheat-sheet-reference-guide","Derivative Rules Cheat Sheet - Reference Guide","","This document serves as a concise reference guide for fundamental calculus derivative rules. It provides clear, structured explanations of the Power Rule, Product Rule, Quotient Rule, and Chain Rule. Each rule is accompanied by its corresponding mathematical formula and illustrative examples to demonstrate practical application. Additionally, the cheat sheet includes essential derivatives of common trigonometric functions, such as sine, cosine, and tangent. This resource is designed to assist students and professionals in quickly recalling and applying core differentiation techniques in calculus, streamlining the problem-solving process for mathematical evaluations.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/template/","Template",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/template/general/","General",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/template/derivative-rules-cheat-sheet-reference-guide/571561/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/derivative-rules-cheat-sheet-reference-guide/571561.png","ImageObject",442,249,{"name":42,"@type":43},"Alex Sinclair","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-25","2026-10-13",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the Power Rule used for in calculus?","Question",{"text":63,"@type":64},"The Power Rule is used to differentiate functions of the form x^n, where the derivative is nx^(n-1).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you differentiate a quotient of two functions?",{"text":68,"@type":64},"The Quotient Rule is applied, which follows the formula (f'g - fg') / g^2, where f and g are differentiable functions.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the derivative of the tangent function?",{"text":72,"@type":64},"The derivative of tan(x) is sec^2(x).","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},571561,1792002523,{"code":4,"msg":82,"data":83},"success",[84,89,94,99,104,109,114,119,124],{"id":85,"doc_module":22,"doc_module_name":25,"category_name":86,"show_sort_weight":87,"slug":88},11,"Presentations",90,"presentations",{"id":90,"doc_module":22,"doc_module_name":25,"category_name":91,"show_sort_weight":92,"slug":93},12,"Resumes",80,"resumes",{"id":95,"doc_module":22,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},14,"Invoices",70,"invoices",{"id":100,"doc_module":22,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},15,"Posters",60,"posters",{"id":105,"doc_module":22,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},16,"Social Media",50,"social-media",{"id":110,"doc_module":22,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},17,"Forms",40,"forms",{"id":115,"doc_module":22,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},18,"Letters",30,"letters",{"id":120,"doc_module":22,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},21,"Paper Templates",5,"papers-templates",{"id":125,"doc_module":22,"doc_module_name":25,"category_name":29,"show_sort_weight":4,"slug":126},158,"general-158",{"code":4,"msg":82,"data":128},{"doc_id":79,"user_id":129,"nickname":42,"user_avatar":130,"doc_module":22,"category_id":125,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":136,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":12,"update_tm":140,"read_time":4},1099523882182,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name  Date   \nDerivative Rules Chet Sheet  \n\n| Rule | Function | Derivative |  | Example |\n| --- | --- | --- | --- | --- |\n| Power Rule | 􀀡 ! | | 􀀢􀀡 !\"\\# | 􀀡 $  􀀤 \u003Cbr>= 4􀀡%􀀤􀀡 |\n| Product Rule | 􀀧􀀨 |  􀀧􀀨 | + 􀀧 |􀀨 |  | 􀀡 $􀀪 '􀀤􀀤􀀡 = 5􀀡$􀀪 $ + 4􀀡%􀀪 ' |\n| Quotient Rule | 􀀧􀀨 |  􀀧 |􀀨 − 􀀨 |􀀧􀀨 ( |  | cos (􀀡)􀀡\u003Cbr>􀀤 􀀡 (− sin(􀀡)) − cos(􀀡) (1)\u003Cbr>~~ ~~ = ~~ ~~\u003Cbr>􀀤􀀡 􀀡 (\u003Cbr>cos (􀀡) + 􀀡􀀵􀀶􀀢(􀀡)\u003Cbr>= ~~ ~~\u003Cbr>􀀡 ( |\n| Chain Rule | 􀀧 (􀀨 (􀀡)) |  􀀧 | (􀀨 (􀀡))􀀨 | (􀀡) |  | cos (􀀡( )\u003Cbr>􀀤􀀤􀀡 = − sin(􀀡( ) 2􀀡= − 2􀀡􀀵􀀶􀀢(􀀡( ) |\n\nTip!  \nRemember the derivative of trig functions:  \n􀀤􀀤􀀡 cos (􀀡) = − sin (􀀡)  \n􀀤􀀤􀀡 sin (􀀡) = cos (􀀡)  \n􀀤􀀤􀀡 tan (􀀡) = sec ((􀀡)","cbCaijaLX32KlBHv","https://ap.wps.com/l/cbCaijaLX32KlBHv","pdf",93864,"English","# Derivative Rules\n## Trigonometric Derivatives","[{\"question\":\"What is the Power Rule used for in calculus?\",\"answer\":\"The Power Rule is used to differentiate functions of the form x^n, where the derivative is nx^(n-1).\"},{\"question\":\"How do you differentiate a quotient of two functions?\",\"answer\":\"The Quotient Rule is applied, which follows the formula (f'g - fg') / g^2, where f and g are differentiable functions.\"},{\"question\":\"What is the derivative of the tangent function?\",\"answer\":\"The derivative of tan(x) is sec^2(x).\"}]","Derivative Rules Cheat Sheet - Reference Guide | PDF",1791922363]