[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522883-105":59,"doc-detail-522883-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","tangent-lines-infinite-calculus-practice-worksheet","Tangent Lines - Infinite Calculus Practice Worksheet","","This document provides a set of practice problems for calculating the equations of tangent lines to various mathematical functions at specified points. The worksheet covers polynomial, rational, logarithmic, and trigonometric functions, requiring students to determine the tangent line equation in slope-intercept form. It serves as an educational resource for calculus students to master the application of derivatives in finding tangent lines, and includes a full answer key for self-assessment and verification of solutions.",{"@graph":69,"@context":123},[70,84,106],{"@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/tangent-lines-infinite-calculus-practice-worksheet/522883/",{"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/tangent-lines-infinite-calculus-practice-worksheet/522883.png","ImageObject",300,407,{"name":92,"@type":93},"Sarah ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the primary objective of the problems in this worksheet?","Question",{"text":113,"@type":114},"The objective is to find the equation of the line tangent to a given function at a specific point, expressed in slope-intercept form.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What types of functions are included in the exercise?",{"text":118,"@type":114},"The worksheet includes a variety of functions such as polynomials, rational expressions, logarithms, and trigonometric functions like tangent.",{"name":120,"@type":111,"acceptedAnswer":121},"Is there a provided solution for the problems?",{"text":122,"@type":114},"Yes, the document includes a comprehensive answer key that lists the slope-intercept equation for each of the eight listed problems.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522883,1791501933,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},962085320529,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Kuta Software-Infinite Calculus Name   \nTangent Lines Date  Period   \nFor each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form.  \n1) y = x 3 − 3x 2 + 2 at (3, 2) 2) y = − ~~ ~~x~~ ~~2~~ ~~~~ ~~1 at (−1, − ~~ ~~52)  \n3) y = x 3 − 2x 2 + 2 at (2, 2) 4) y = − ~~ ~~x~~ ~~2~~ ~~~~ ~~25 at (−4, ~~ ~~13)  \n3  1  \n5) y = −  x 2 − 4 at ( 1, 1) 6) y = (5x + 5) 2 at (4, 5)  \n7) y = ln (−x) at (−2, ln 2) 8) y = −2tan (x) at (−π , 0)  \nKuta Software-Infinite Calculus Name   \nTangent Lines Date  Period   \nFor each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form.  \n1) y = x 3 − 3x 2 + 2 at (3, 2)  \ny = 9x − 25  \n3) y = x 3 − 2x 2 + 2 at (2, 2)  \ny = 4x − 6  \n5) y = − ~~ ~~x~~ ~~2~~ ~~~~ ~~4 at ( 1, 1)  \ny = ~~ ~~23x + ~~ ~~13  \n7) y = ln (−x) at (−2, ln 2)  \ny = − ~~ ~~12x + ln 2 − 1  \n2) y = − ~~ ~~x~~ ~~2~~ ~~~~ ~~1 at (−1, − ~~ ~~52)  \ny = − ~~ ~~52x − 5  \n4) y = − ~~ ~~x~~ ~~2~~ ~~~~ ~~25 at (−4, ~~ ~~13)  \ny = − ~~ ~~827x − 2237  \n 1   \n6) y = (5x + 5) 2 at (4, 5)  \ny = ~~ ~~12x + 3  \n8) y = −2tan (x) at (−π , 0)  \ny = −2x − 2π  \nCreate your own worksheets like this one with Infinite Calculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaicpYnav4nzRa","https://ap.wps.com/l/cbCaicpYnav4nzRa","pdf",30673,"English","# Tangent Line Problems\n## Answer Key","[{\"question\":\"What is the primary objective of the problems in this worksheet?\",\"answer\":\"The objective is to find the equation of the line tangent to a given function at a specific point, expressed in slope-intercept form.\"},{\"question\":\"What types of functions are included in the exercise?\",\"answer\":\"The worksheet includes a variety of functions such as polynomials, rational expressions, logarithms, and trigonometric functions like tangent.\"},{\"question\":\"Is there a provided solution for the problems?\",\"answer\":\"Yes, the document includes a comprehensive answer key that lists the slope-intercept equation for each of the eight listed problems.\"}]","Tangent Lines - Infinite Calculus Practice Worksheet | PDF",1791426269]