{"id":419,"date":"2023-11-22T16:30:34","date_gmt":"2023-11-22T16:30:34","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=419"},"modified":"2023-12-08T15:40:56","modified_gmt":"2023-12-08T15:40:56","slug":"math-141-calculus-1-chapter-3","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-141-calculus-1-chapter-3\/","title":{"rendered":"Math 141 Calculus 1 Chapter 3"},"content":{"rendered":"\n

Section 3.1 Tangents at a Point<\/a>
Worksheet<\/a> – Tangents at a Point<\/a><\/p>\n\n\n\n

Section 3.2 Derivative of a Function<\/a>
Worksheet<\/a> – Derivative of a Function<\/a><\/p>\n\n\n\n

Section 3.3 Differentiation Rules<\/a>
Worksheet<\/a> – Differentiation Rules<\/a><\/p>\n\n\n\n

Section 3.4 Derivative as a Rate of Change<\/a>
Worksheet<\/a> – Derivative as a Rate of Change<\/a><\/p>\n\n\n\n

Section 3.5 Derivatives of Trigonometric Functions<\/a>
Worksheet<\/a> – Derivatives of Trigonometric Functions<\/a><\/p>\n\n\n\n

Section 3.6 The Chain Rule<\/a>
Worksheet<\/a> – The Chain Rule<\/a><\/p>\n\n\n\n

Section 3.7 Implicit Differentiation<\/a>
Worksheet<\/a> – Implicit Differentiation<\/a><\/p>\n\n\n\n

Section 3.8 Related Rates<\/a>
Worksheet<\/a> – Related Rates<\/a><\/p>\n\n\n\n

Section 3.9 Linearization and Differentials<\/a>
Worksheet<\/a> – Linearization and Differentials<\/a><\/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

Slope at a Point 3-1-21<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Point at which the Graph has a Horizontal Tangent 3-1-25<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Slope of a Curve at a Point 3-1-35<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Determine if the Graph has a Vertical Tangent at the Origin 3-1-37<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Calculate the Derivative of the Function Using the Definition 3-2-5<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Rate of Change 3-2-9<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Differentiate the Function and Find the Slope of the Tangent Line 3-2-13<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Differentiate the Function and Find an Equation of the Tangent Line at the Indicated Point 3-2-18<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Value of the Derivative 3-2-19<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Value of the Derivative 3-2-21<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Derivative of the Function 3-2-24<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Use the Alternative Formula for the Derivative 3-2-25<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Use Alternative Definition of Derivative to Find the Derivative of the Function 3-2-26<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Graphing the Derivative 3-2-29<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rate of Change 3-2-35<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Left-Hand and Right-Hand Derivatives 3-2-38<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivatives of f ‘ 3-2-53<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Parallel to a Line 3-3-48<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Perpendicular at a Location 3-3-49<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Perpendicular at a Location (another example)3-3-49<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Perpendicular at a Location (third example) 3-3-49<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Finding Derivatives 3-3-60<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Displacement, Velocity, Speeds, Accelerations, and Direction Change 3-4-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Displacement, Average Velocity, Speed, Acceleration, Direction Change 3-4-5<\/a> (15th<\/sup> Edition)\u00ad\u00ad<\/p>\n\n\n\n

Displacement, Average Velocity, Speed, Acceleration, Direction Change 3-4-5<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Acceleration, Speed, Acceleration, Total Distance Traveled 3-4-7<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Maximums; Time and Distance 3-4-10<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Average Cost 3-4-21<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Volume Changes with Radius 3-4-28<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Product Rule with Trig Functions 3-5-7<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rate of Change 3-5-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Product Rule with Trig 3-5-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Equation of the Tangent to the Curve 3-5-35<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Finding Derivatives 3-6-5 and 3-6-19<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Derivative (With Trig Terms) 3-6-25<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Chain Rule (13th Edition) 3-6-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivatives of the Function 3-6-29<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of the Function (sin) 3-6-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Second Derivative 3-6-59<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Composition Functions and Derivatives 3-6-69<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Composition Functions and Derivatives (Another Example) 3-6-69<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Tangent to the Curve 3-6-83<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation 3-7-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation 3-7-7<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation 3-7-7<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation 3-7-11<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivatives 3-7-15<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation 3-7-17<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation, First and Second Derivatives 3-7-21<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Implicit Differentiation, First and Second Derivatives 3-7-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Tangent and Normal Lines 3-7-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Tangent and Normal Lines 3-7-37<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Tangent and Normal Lines 3-7-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Intersection Point of Normal line and a Curve 3-7-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Related Rates? 3-8-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rate of Change of Volume of a Cube 3-8-11<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Related Rates 3-8-14<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Related Rates (V=IR) 3-8-15<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rate of Change of Circular Plate 3-8-20<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change of Rectangle 3-8-21<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Ladder Against a House) 3-8-23<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Kite) 3-8-25<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Sand Falling Off Conveyor Belt) 3-8-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Hot Air Balloon and Bicycle) 3-8-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Moving Ball and Its Shadow) 3-8-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (A Building and Its Shadow) 3-8-40<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Iron Ball Coated with Ice) 3-8-41<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Rates of Change (Baseball Game) 3-8-43<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Linearization 3-9-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Linearization 3-9-5<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Center of the Linearization 3-9-11<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the First Derivative (With Square Roots)  3-9-17<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Change Each Function, the Estimate of df, and the Approximate Error 3-9-29<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Change, Estimate of df, and Approximate the Error 3-9-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

3-9-43 estimated volume <\/a>(15th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"

Section 3.1 Tangents at a PointWorksheet – Tangents at a Point Section 3.2 Derivative of a FunctionWorksheet – Derivative of a Function Section 3.3 Differentiation RulesWorksheet – Differentiation Rules Section 3.4 Derivative as a Rate of ChangeWorksheet – Derivative as a Rate of Change Section 3.5 Derivatives of Trigonometric FunctionsWorksheet – Derivatives of Trigonometric Functions… Continue reading Math 141 Calculus 1 Chapter 3<\/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-419","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/419"}],"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=419"}],"version-history":[{"count":2,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/419\/revisions"}],"predecessor-version":[{"id":514,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/419\/revisions\/514"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}