{"id":422,"date":"2023-11-22T16:49:29","date_gmt":"2023-11-22T16:49:29","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=422"},"modified":"2024-08-06T19:20:32","modified_gmt":"2024-08-06T19:20:32","slug":"math-141-calculus-1-chapter-4","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-141-calculus-1-chapter-4\/","title":{"rendered":"Math 141 Calculus 1 Chapter 4"},"content":{"rendered":"\n

Section 4.1 Extreme Values of Functions<\/a>
Worksheet<\/a> – Extreme Values of Functions<\/a><\/p>\n\n\n\n

Section 4.2 Rolle’s Theorem and Mean Value Theorem<\/a>
Worksheet<\/a> – Rolle’s Theorem and Mean Value Theorem<\/a><\/p>\n\n\n\n

Section 4.3 First Derivative Test<\/a>
Worksheet<\/a> – First Derivative Test<\/a><\/p>\n\n\n\n

Section 4.4  Concavity (LONG with LOTS of examples!)<\/a>
Worksheet<\/a> – Concavity<\/a><\/p>\n\n\n\n

Section 4.5 Optimization<\/a>
Worksheet<\/a> – Optimization<\/a><\/p>\n\n\n\n

Section 4.6 Newton’s Method<\/a>
Worksheet<\/a> – Newton’s Method<\/a><\/p>\n\n\n\n

Section 4.7 Antiderivatives<\/p>\n\n\n\n

Return to Anna’s MATH 141 page<\/a><\/p>\n\n\n\n

Return to Anna’s home page<\/a><\/p>\n\n\n\n

Return to Kellogg Community College<\/a><\/em><\/p>\n\n\n\n

Questions asked by students<\/p>\n\n\n\n

Absolute Max\/Min on Given Interval 4-1-29<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Critical Points 4-1-43<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Critical Points 4-1-45<\/a><\/em> (15th<\/sup> Edition)<\/p>\n\n\n\n

Critical Points 4-1-47<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Extreme Values and Interpret Based on Volume 4-1-59<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Mean Value Theorem 4-2-5<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Mean Value Theorem 4-2-14<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Functions with the Derivative 4-2-35<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Function of the Derivative 4-2-37<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Function of the Derivative 4-2-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Body Position at a Given Time 4-2-47<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Critical Points, Increasing\/Decreasing, Max\/Min Vales 4-3-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Critical Points with Trig 4-3-13<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Critical Points with Trig 4-3-13<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Increasing\/Decreasing and Absolute Max\/Min 4-3-29<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Critical Points 4-3-37<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

\u00a0Critical Points 4-3-57<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Extreme Values 4-3-60<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Sketch the Continuous Function 4-3-69<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Inflection Points, Max\/Min, Concavity 4-4-5<\/a>\u00a0explained in detail (15th<\/sup> Edition)<\/p>\n\n\n\n

Inflection Points, Max\/Min, Concavity 4-4-7\u00a0graphing<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Inflection Points, Max\/Min, Concavity 4-4-43<\/a> graphing (15th<\/sup> Edition)<\/p>\n\n\n\n

Inflection Points, Max\/Min, Concavity 4-4-51<\/a> concavity and graphing (15th<\/sup> Edition)<\/p>\n\n\n\n

Graphing and Identify Extreme Points and Inflection Points 4-4-61<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

4-4-65<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Value of Constants with Max\/Min and Inflection Points 4-4-119<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rectangle Inscribed in Isosceles Right Triangle 4-5-3<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Parabolic Arch with Rectangular Window of Max Area 4-5-4<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rectangular Tank with Square Base and Open Top–Find Minimum Weight 4-5-9 <\/a>(15th<\/sup> Edition)<\/p>\n\n\n\n

Find Dimensions to Minimize Paper Used 4-5-11<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Dimensions to Maximize Volume of a Covered Box 4-5-16T<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Dimensions to Maximize the Volume of the Right Circular Cylinder 4-5-19<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Dimensions to Minimize Cost of Construction of Silo 4-5-23 <\/a><\/strong>(15th<\/sup> Edition)<\/p>\n\n\n\n

Find Dimensions to Minimize Total Area of Wire in a Circle or Square 4-5-32<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Newton’s Method 4-6-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Newton’s Method 4-6-4<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

4-6-15<\/a>T screen shot, not a video (15th<\/sup> Edition)<\/p>\n\n\n\n

Newton’s Method 4-6-16T<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Newton’s Method 4-6-15T<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

At What Value of x Does cosx=8x 4-6-21T<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Intermediate Value Theorem 4-6-25T<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Antiderivatives 4-7-7<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Indefinite Integral 4-7-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Most General Antiderivative or Indefinite Integral 4-7-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Function Satisfying …4-7-71<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Solve the Initial Value Problem 4-7-89<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find Curve in the xy-plane That Passes Through a Point and Has a Slope at that Point 4-7-91<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Solution Curves of the Differential Equation 4-7-99<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Constant Deceleration Required for Driver to Stop in Time 4-7-105<\/a> (15th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"

Section 4.1 Extreme Values of FunctionsWorksheet – Extreme Values of Functions Section 4.2 Rolle’s Theorem and Mean Value TheoremWorksheet – Rolle’s Theorem and Mean Value Theorem Section 4.3 First Derivative TestWorksheet – First Derivative Test Section 4.4  Concavity (LONG with LOTS of examples!)Worksheet – Concavity Section 4.5 OptimizationWorksheet – Optimization Section 4.6 Newton’s MethodWorksheet –… Continue reading Math 141 Calculus 1 Chapter 4<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-422","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/422"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=422"}],"version-history":[{"count":32,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/422\/revisions"}],"predecessor-version":[{"id":647,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/422\/revisions\/647"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}