{"id":911,"date":"2020-05-21T05:55:12","date_gmt":"2020-05-21T05:55:12","guid":{"rendered":"https:\/\/thestemtutor.org\/?page_id=911"},"modified":"2025-09-02T03:36:57","modified_gmt":"2025-09-02T03:36:57","slug":"differential-calculus","status":"publish","type":"page","link":"https:\/\/thestemtutor.org\/?page_id=911","title":{"rendered":"Differential Calculus"},"content":{"rendered":"\n

Chapter 1: Derivatives <\/strong><\/p>\n\n\n\n

1.1: Rates of Change; Secants and Tangents<\/a><\/p>\n\n\n\n

1.2: Introduction to Differentiation\/Derivatives + Real Life Applications<\/p>\n\n\n\n

1.3: Addition, Subtraction, Product and Quotient Derivative Rules + Derivatives of Polynomials<\/p>\n\n\n\n

1.4: Derivatives of Exponential Functions; Exponential Growth and Decay <\/p>\n\n\n\n

1.5: Derivatives of Trigonometric Functions <\/p>\n\n\n\n

1.6: Finding Derivatives using the Chain Rules <\/p>\n\n\n\n

1.7: Derivatives of Logarithmic Functions<\/p>\n\n\n\n

1.8: Implicit vs. Explicit Differentiation <\/p>\n\n\n\n

1.9: Related Rates <\/p>\n\n\n\n

1.10: Linear Approximations <\/p>\n\n\n\n

1.11: Hyperbolic Functions<\/p>\n\n\n\n

Chapter 2: Applications of Differentiation <\/strong><\/p>\n\n\n\n

2.1: Maximum and Minimum Values <\/p>\n\n\n\n

2.2: Mean Value Theorem <\/p>\n\n\n\n

2.3: Indeterminate Forms <\/p>\n\n\n\n

2.4: Curve Sketching <\/p>\n\n\n\n

2.5: Optimization <\/p>\n\n\n\n

2.6: Newton’s Method<\/p>\n\n\n\n

2.7: Antiderivatives <\/p>\n\n\n\n

Chapter 3: Limits <\/strong><\/p>\n\n\n\n

3.1: Introduction to Limits; Continuity<\/p>\n\n\n\n

3.2: Solving Limits using Plug-In Method, Graphical Estimation Table or Values <\/a><\/p>\n\n\n\n

3.3: Solving Limits using Factoring and Conjugates <\/a><\/p>\n\n\n\n

3.4: Limits of Function Families. Solving Limits using Squeeze Theorem and L’Hopital’s Rule<\/a><\/p>\n\n\n\n

3.5: Calculating Limits using Limit Laws <\/p>\n\n\n\n

3.6: Limits at Infinity; Horizontal Asymptotes <\/p>\n\n\n\n

More Practice Questions<\/em><\/strong><\/a><\/p>\n\n\n\n

Link to Textbook: Calculus Early Transcendentals, 8th Edition by James Stewart<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Chapter 1: Derivatives 1.1: Rates of Change; Secants and Tangents 1.2: Introduction to Differentiation\/Derivatives + Real Life Applications 1.3: Addition, Subtraction, Product and Quotient Derivative Rules + Derivatives of Polynomials 1.4: Derivatives of Exponential Functions; Exponential Growth and Decay 1.5: Derivatives of Trigonometric Functions 1.6: Finding Derivatives using the Chain Rules 1.7: Derivatives of Logarithmic […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_analysis_target_kw":"","nf_dc_page":"","om_disable_all_campaigns":false,"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-911","page","type-page","status-publish"],"yoast_head":"\nDifferential Calculus -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/thestemtutor.org\/?page_id=911\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Differential Calculus -\" \/>\n<meta property=\"og:description\" content=\"Chapter 1: Derivatives 1.1: Rates of Change; 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