{"id":360,"date":"2023-11-21T17:56:28","date_gmt":"2023-11-21T17:56:28","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=360"},"modified":"2026-01-08T16:13:00","modified_gmt":"2026-01-08T16:13:00","slug":"math-142-calculus-2-chapter-7","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-142-calculus-2-chapter-7\/","title":{"rendered":"Math 142 Calculus 2 Chapter 7"},"content":{"rendered":"\n

Section 7.1 Inverse Functions and their derivatives<\/a>
Worksheet <\/a>– Inverse Functions and their derivatives<\/a><\/p>\n\n\n\n

Section 7.2 Natural Logarithms<\/a>
Worksheet<\/a> – Natural Logarithms<\/a><\/p>\n\n\n\n

Section 7.3 Transcendental Functions<\/a> \u00a0Lots of examples in 7.3<\/a>\u00a0 Worksheet<\/a> – Transcendental Functions<\/a><\/p>\n\n\n\n

Section 7.4 Exponential change and separable differential equations<\/a>
Worksheet<\/a> – Exponential change and separable differential equations<\/a><\/p>\n\n\n\n

Section 7.5 Indeterminate forms and L’Hopital’s Rule<\/a>
Worksheet<\/a> – Indeterminate forms and L’Hopital’s Rule<\/a><\/p>\n\n\n\n

Section 7.6\u00a0Derivatives of Inverse Trigonometric Functions<\/a>\u00a0
Worksheet\u00a0<\/a>– Derivatives of Inverse Trigonometric Functions<\/a><\/p>\n\n\n\n

Section 7.7\u00a0Hyperbolic Functions and Their Derivatives<\/a>\u00a0
Worksheet<\/a> – Hyperbolic Functions and Their Derivatives<\/a><\/p>\n\n\n\n

Section 7.8\u00a0Relative Rates of Growth<\/a>\u00a0
Worksheet<\/a> – Relative Rates of Growth<\/a><\/p>\n\n\n\n

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

Return to Anna’s MATH 142 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

Inverse Functions 7-1-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Product and Chain Rule 7-2-17<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Fundamental Theorem of Calculus 7-2-37<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

U-Substitution 7-2-44<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Evaluating Integrals with Logarithms 7-2-49<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integrals with Logarithms 7-2-53<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Natural Logarithms in Integrals 7-2-55<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of e With an Exponent that Needs Chain Rule Several Times 7-3-23<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Fundamental Theorem of Calculus 7-3-26<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral 7-3-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

U-Substitution with e to the u Power Integral 7-3-48<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Initial Value 7-3-57<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

A Constant to a Variable Power 7-3-61<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of a Constant to a Variable Power 7-3-61<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Change of Base Derivative 7-3-73<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivatives Using Change of Base 7-3-85<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Splitting Up in to Two Integrals 7-3-50<\/a> (15th <\/sup>Edition)<\/p>\n\n\n\n

Integrals of a to a Power 7-3-8<\/a>9 (15th<\/sup> Edition)<\/p>\n\n\n\n

Integrating a Constant to a Variable 7-3-89<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integrals with Other Bases 7-3-91<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Variable in Base and Exponent on an Integral 7-3-95<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integration 7-3-99<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral of a Constant Base 7-3-109<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Intensity of Light 7-4-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Exponential Growth 7-4-29<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Newton’s Law of Cooling 7-4-41<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Newton’s Law of Cooling 7-4-44<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s Rule Definitely a typo in the 7-5-1<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s 7-5-25<\/a> (15th <\/sup>Edition)<\/p>\n\n\n\n

 L’Hopital’s Rule 7-5-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s Rule 7-5-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s Rule 7-5-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s on Natural Logs 7-5-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s in the Form of Subtraction of Two Terms 7-5-43<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s Rule 7-5-51<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

 L’Hopital 7-5-51<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s Rule 7-5-57<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Variable in Base and Exponent 7-5-57<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Indeterminate Form 7-5-59<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Find the Limit Using L’Hopital’s Rule 7-5-60<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s Rule 7-5-63<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Indeterminate Form 7-5-66<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

L’Hopital’s 7-5-67<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Base to Variable 7-5-73<\/a> (15th<\/sup> Edition) <\/p>\n\n\n\n

Variable in Base and Exponent 7-5-87<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Part B L’Hopital’s Rule 7-5-91<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Part C Derivative Set Equal to 0 7-5-91<\/a> (15th <\/sup>Edition)<\/p>\n\n\n\n

Derivative on Inverse Trig Functions 7-6-23<\/a> <\/a>(15th<\/sup> Edition)<\/p>\n\n\n\n

Inverse Cosecant 7-6-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse Secant (not really this problem but a good one none the less and it was some homework problem!)7-6-57<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse Secant 7-6-29 <\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse Cotangent 7-6-31<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative on Inverse Trig Functions 7-6-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse Sine 7-6-37<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse Tangent and Inverse Secant 7-6-39<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral of Inverse Tangent 7-6-56<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Inverse Secant with Triangles 7-6-57<\/a> (15th <\/sup>Edition)<\/p>\n\n\n\n

Inverse Secant 7-6-47<\/a><\/p>\n\n\n\n

Integral of Inverse Secant 7-6-63<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

7-6-61<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral of Inverse Tangent 7-6-71<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Trig Substitution Completing the Square 7-6-81<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Inverse Tangent 7-6-95<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Complex Tan Inverse Integral 7-6-99<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Initial Value Problem 7-6-118<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Volume of a Solid (not the answer in course compass) 7-6-120<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

7-6-120 volume around the y-axis<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

sech (6lnx) 7-7-23<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse Hyperbolic Sine 7-7-25<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Product Rule 7-7-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Product Rule 7-7-27<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative of Inverse csch x 7-7-33<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Derivative Hyperbolic sinh Inverse 7-7-35<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral sinh 7-7-43<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral of Hyperbolic Tangent 7-7-45<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral of coth 7-7-51<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Integral cosh 7-7-53<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

Hyperbolic Cosine 7-7-59<\/a> (15th<\/sup> Edition)<\/p>\n\n\n\n

7-7-59 hyperbolic coshine with more details<\/a> (15th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"

Section 7.1 Inverse Functions and their derivativesWorksheet – Inverse Functions and their derivatives Section 7.2 Natural LogarithmsWorksheet – Natural Logarithms Section 7.3 Transcendental Functions \u00a0Lots of examples in 7.3\u00a0 Worksheet – Transcendental Functions Section 7.4 Exponential change and separable differential equationsWorksheet – Exponential change and separable differential equations Section 7.5 Indeterminate forms and L’Hopital’s RuleWorksheet… Continue reading Math 142 Calculus 2 Chapter 7<\/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-360","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/360"}],"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=360"}],"version-history":[{"count":23,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/360\/revisions"}],"predecessor-version":[{"id":1035,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/360\/revisions\/1035"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}