[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522855-105":59,"doc-detail-522855-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","derivative-at-a-value-calculus-practice-worksheet","Derivative at a Value - Calculus Practice Worksheet","","This calculus practice worksheet from Kuta Software focuses on finding the derivative of various functions at specific given values. The document provides a series of ten exercises involving polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions. Each problem is designed to test a student's ability to apply differentiation rules, such as the power rule, chain rule, and product rule, at a defined point. Answer keys are included for verification of the calculations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/derivative-at-a-value-calculus-practice-worksheet/522855/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/derivative-at-a-value-calculus-practice-worksheet/522855.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn Holloway","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-12","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the primary objective of this worksheet?","Question",{"text":112,"@type":113},"The primary objective is to practice finding the derivative of a function at a specific value of x for various mathematical expressions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of functions are covered in the exercises?",{"text":117,"@type":113},"The worksheet covers polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the document provide answers?",{"text":121,"@type":113},"Yes, the document includes a section that provides the derivative results for the listed problems.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522855,1791754211,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},2336474466712,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Calculus Name___________________________________  \nDerivative at a Value Date________________ Period____  \nFor each problem, find the derivative of the function at the given value.  \n1) y = x 2 + 4x at x = −5 2) y = −x3 + 4x2 − 4 at x = 4  \n3) y = x~~ ~~22~~ ~~5 at x = 3 4) y = x~~ ~~~~ ~~1 at x = 5  \n 1   1   \n5) y = (−x + 4) 2 at x = 0 6) y = (−3x + 9) 2 at x = −5  \n7) y = e −x + 2 at x = 4 8) y = − ln (x + 3) at x = 5  \n9) y = 2sin (2x) at x = − ~~ ~~π2~~ ~~ 10) y = −tan (2x) at x = −π  \nKuta Software-Infinite Calculus Name   \nDerivative at a Value Date  Period   \nFor each problem, find the derivative of the function at the given value.  \n1) y = x 2 + 4x at x = −5  \ndy  \n~~ ~~ = −6 dx  \nx = −5  \n3) y =  20  at x = 3 x 2 + 5  \ndy   30  \n= − dx 49  \nx = 3  \n1   \n5) y = (−x + 4) 2 at x = 0  \ndy 1  \n~~ ~~ = − ~~ ~~  \ndx 4  \nx = 0  \n7) y = e −x + 2 at x = 4  \ndx  e 2  \ndy   1   \n= −  \nx = 4  \n9) y = 2sin (2x) at x = − ~~ ~~π2  \ndy  \ndx  \n= −4 x = − ~~ ~~π2  \n2) y = −x3 + 4x2 − 4 at x = 4  \ndy  \ndx  \n= −16  \nx = 4  \n4) y = x~~ ~~~~ ~~1 at x = 5  \ndy   1   \n= −  \ndx 18  \nx = 5  \n 1   \n6) y = (−3x + 9) 2 at x = −5  \n8) y = − ln (x + 3) at x = 5  \n10) y = −tan (2x) at x = −π  \ndy  \ndx  \n= −2  \nx = −π  \nCreate your own worksheets like this one with Infinite Calculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaicl9FTqFJQ46","https://ap.wps.com/l/cbCaicl9FTqFJQ46","pdf",25845,"English","# Derivative at a Value Exercises\n## Problem Set\n## Answer Key","[{\"question\":\"What is the primary objective of this worksheet?\",\"answer\":\"The primary objective is to practice finding the derivative of a function at a specific value of x for various mathematical expressions.\"},{\"question\":\"What types of functions are covered in the exercises?\",\"answer\":\"The worksheet covers polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions.\"},{\"question\":\"Does the document provide answers?\",\"answer\":\"Yes, the document includes a section that provides the derivative results for the listed problems.\"}]","Derivative at a Value - Calculus Practice Worksheet | PDF",1791426238]