[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-572655-105":3,"detail-sidebar-cat-1-en-105":81,"doc-detail-572655-en":126},{"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","basic-differentiation-formulas-derivative-table","Basic Differentiation Formulas - Derivative Table","","Basic Differentiation Formulas provides a compact derivative reference for common differentiable functions. It summarizes rules such as the derivative of a constant, constant multiple, sum or difference, and the Product, Quotient, and Chain Rules. It also lists derivatives for logarithmic and exponential-related forms, including ln, log, and sin/cos/tan and their reciprocal trigonometric functions, plus inverse trigonometric derivatives. The table is designed for quick lookup during calculus work.",{"@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/presentations/","Presentations",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/template/basic-differentiation-formulas-derivative-table/572655/",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/basic-differentiation-formulas-derivative-table/572655.png","ImageObject",442,249,{"name":42,"@type":43},"GGG","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-20","2026-10-13",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the main differentiation rules included in this table?","Question",{"text":63,"@type":64},"It includes the derivative of a constant, constant multiple, sum or difference, plus the Product Rule, Quotient Rule, and Chain Rule.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Does the table list derivatives of logarithmic and trigonometric functions?",{"text":68,"@type":64},"Yes. It provides derivatives for ln/log forms and for sin, cos, tan as well as reciprocal trigonometric functions.",{"name":70,"@type":61,"acceptedAnswer":71},"Are inverse trigonometric derivatives also covered?",{"text":72,"@type":64},"Yes. It includes entries for arcsin, arctan (and related inverse forms) with their corresponding derivative expressions.","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},572655,1792022811,{"code":4,"msg":82,"data":83},"success",[84,88,93,98,103,108,113,118,122],{"id":85,"doc_module":22,"doc_module_name":25,"category_name":29,"show_sort_weight":86,"slug":87},11,90,"presentations",{"id":89,"doc_module":22,"doc_module_name":25,"category_name":90,"show_sort_weight":91,"slug":92},12,"Resumes",80,"resumes",{"id":94,"doc_module":22,"doc_module_name":25,"category_name":95,"show_sort_weight":96,"slug":97},14,"Invoices",70,"invoices",{"id":99,"doc_module":22,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},15,"Posters",60,"posters",{"id":104,"doc_module":22,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},16,"Social Media",50,"social-media",{"id":109,"doc_module":22,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},17,"Forms",40,"forms",{"id":114,"doc_module":22,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},18,"Letters",30,"letters",{"id":119,"doc_module":22,"doc_module_name":25,"category_name":120,"show_sort_weight":55,"slug":121},21,"Paper Templates","papers-templates",{"id":123,"doc_module":22,"doc_module_name":25,"category_name":124,"show_sort_weight":4,"slug":125},158,"General","general-158",{"code":4,"msg":82,"data":127},{"doc_id":79,"user_id":128,"nickname":42,"user_avatar":129,"doc_module":22,"category_id":85,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":135,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":136,"faqs":137,"seo_title":138,"seo_description":12,"update_tm":139,"read_time":4},962093532725,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Basic Differentiation Formulas  \n[http://www.math.wustl.edu/~freiwald/Math131/derivativetable.pdf](http://www.math.wustl.edu/~freiwald/Math131/derivativetable.pdf)  \nIn the table below, ? œ 0 ÐBÑ and @ œ 1ÐBÑ represent differentiable functions of B  \nDerivative of a constant  \nDerivative of constant multiple Derivative of sum or difference  \nProduct Rule  \nQuotient Rule  \nChain Rule  \n.~~.~~​B~~-~~ œ !  \n.~~.~~​B (-?) œ  \n.~~.~~​B ( ?„@ )  \n.~~.~~​B (?@Ñ œ  \n.~~.~~​B ( ~~?~~​@ ) œ  \n-  \nœ  \n?  \n@  \n.C  \n.B  \nœ  \n.C ..? .  \n ?  \nB  \n.?  \n.B  \n.~~.~~​B~~?~~​„.~~.~~​  \n.~~.~~​ 􀁢 @ ~~.~~​.B~~?~~​  \n ~~.~~​.B~~?~~​ 􀁣?.~~.~~​@\\#  \nÐWe could also write Ð-0 Ñ w œ -0 w , and could use the “prime notion” in the other formulas as well)  \n(If + = / )  \n(If + œ / )  \n.~~.~~​B B8 œ 8B8􀁣\"  \n.~~.~~​B +B œ (ln +) +B  \n.~~.~~​B /B œ /B  \n.~~.~~​B log+ B œ ~~(ln ~~~~) ~~B  \n.~~.~~​B ln B œ 1B  \n.~~.~~​B sin B œ cos B  \n.~~.~~​B cos B œ 􀁣 sin B  \n.~~.~~​B tan B œ sec\\# B  \n.~~.~~​B cot B œ 􀁣 csc\\# B  \n.~~.~~​B sec B œ sec B tan B  \n.~~.~~​B csc B œ 􀁣 csc B cot B  \n.~~.~~​B sin􀁣\" B œ  \n.~~.~~​B arcsin B œ È\"B\\#~~ ~~  \n.~~.~~​B tan􀁣\" B œ  \n.~~.~~​B arctan B = \"1􀁢B\\#  \n.~~.~~​B ?8 œ 8?8􀁣\" .~~.~~​B~~?~~​  \n.~~.~~​B +? œ (ln +) +? .~~.~~​B~~?~~​  \n.~~.~~​B /? œ /? .~~.~~​B~~?~~​  \n.~~.~~​B log+ ? œ ~~(ln ~~~~) ~~? .~~.~~​B~~?~~​  \n.~~.~~​B ln ? œ 1? .~~.~~​B~~?~~​  \n.~~.~~​B sin ? œ cos ? .~~.~~​B~~?~~​  \n.~~.~~​B cos ? œ 􀁣 sin ? .~~.~~​B~~?~~​  \n.~~.~~​B tan ? œ sec\\# ? .~~.~~​B~~?~~​  \n.~~.~~​B cot ? œ 􀁣 csc\\# ? .~~.~~​B~~?~~​  \n.~~.~~​B sec ? œ sec ? tan ? .~~.~~​B~~?~~​  \n.~~.~~​B csc ? œ 􀁣 csc ? cot ? .~~.~~​B~~?~~​  \n.~~.~~​B sin􀁣\" ? œ  \n.~~.~~​B arcsin? œ È\"?\\#~~ ~~ .~~.~~​B~~?~~​  \n.~~.~~​B tan􀁣\" ? œ  \n.~~.~~​B arctan ? = \"1􀁢?\\# .~~.~~​B~~?~~​","cbCaikHvLmk83rvd","https://ap.wps.com/l/cbCaikHvLmk83rvd","pdf",92969,"English","# Basic Differentiation Formulas\n## Core Rules\n## Derivatives of Common Functions","[{\"question\":\"What are the main differentiation rules included in this table?\",\"answer\":\"It includes the derivative of a constant, constant multiple, sum or difference, plus the Product Rule, Quotient Rule, and Chain Rule.\"},{\"question\":\"Does the table list derivatives of logarithmic and trigonometric functions?\",\"answer\":\"Yes. It provides derivatives for ln/log forms and for sin, cos, tan as well as reciprocal trigonometric functions.\"},{\"question\":\"Are inverse trigonometric derivatives also covered?\",\"answer\":\"Yes. It includes entries for arcsin, arctan (and related inverse forms) with their corresponding derivative expressions.\"}]","Basic Differentiation Formulas - Derivative Table | PDF",1791928735]