{"ok":true,"q":"Mean Value Theorem","n":730,"results":[{"id":"class_12\/mathematics\/chapter_06_applications_of_derivatives","title":"Chapter 6 — Applications Of Derivatives","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Applications of Derivatives (Class 12 NCERT) — Introduction: This chapter develops techniques to use derivatives beyond computation: to analyse how functions change, to lo","topic":"Rolle's Theorem and Mean Value Theorem (MVT)","anchor":"topic-8"},{"id":"class_12\/mathematics\/chapter_05_continuity_and_differentiability","title":"Chapter 5 — Continuity And Differentiability","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter develops the fundamental calculus ideas of continuity and differentiability for real-valued functions of a real variable. Beginning with the notion of limits, it defin","topic":"","anchor":""},{"id":"class_02\/mridang\/my_name","title":"My Name","class_num":2,"subject":"mridang","subject_label":"English (Mridang)","summary":"This chapter explores the significance of names and identity through a personal narrative, encouraging students to reflect on their own names and cultural heritage.","topic":"","anchor":""},{"id":"class_08\/it_so_happened\/the_selfish_giant","title":"The Selfish Giant","class_num":8,"subject":"it_so_happened","subject_label":"English (It So Happened)","summary":"This chapter narrates the story of a giant who learns the value of sharing and kindness when he opens his garden to children, transforming his selfishness into love and friendship.","topic":"","anchor":""},{"id":"class_08\/honeydew\/the_last_bargain","title":"The Last Bargain","class_num":8,"subject":"honeydew","subject_label":"English (Honeydew)","summary":"This chapter narrates the story of a man who learns the value of life and relationships through an unexpected encounter, highlighting themes of compassion and self-realization.","topic":"","anchor":""},{"id":"class_11\/economics\/chapter_05_measures_of_central_tendency","title":"Chapter 5 — Measures Of Central Tendency","class_num":11,"subject":"economics","subject_label":"Economics","summary":"Introduction: This chapter introduces the three principal measures of central tendency — arithmetic mean, median and mode — which summarise a distribution by a single representativ","topic":"","anchor":""},{"id":"class_11\/economics\/chapter_06_measures_of_dispersion","title":"Chapter 6 — Measures Of Dispersion","class_num":11,"subject":"economics","subject_label":"Economics","summary":"This chapter introduces measures of dispersion — numerical summaries that describe the spread or variability of a data distribution. After learning measures of central tendency (me","topic":"","anchor":""},{"id":"class_12\/mathematics\/chapter_07_integrals","title":"Chapter 7 — Integrals","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Integrals (Class 12, NCERT) — This chapter develops the concept of integration as the reverse process of differentiation and as a limit of sums. It introduces indefinite i","topic":"Definite Integrals","anchor":"topic-4"},{"id":"class_11\/mathematics\/chapter_15_statistics","title":"Chapter 15 — Statistics","class_num":11,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter \"Statistics\" (Class 11 NCERT Mathematics) introduces basic tools for describing and summarising univariate data. It explains how to present data in tabular and graphical fo","topic":"","anchor":""},{"id":"class_07\/an_alien_hand\/i_want_something_in_a_cage","title":"I Want Something In A Cage","class_num":7,"subject":"an_alien_hand","subject_label":"English (An Alien Hand)","summary":"This chapter narrates the story of a boy who desires to keep a living creature in a cage, exploring themes of freedom, empathy, and the consequences of captivity.","topic":"","anchor":""}]}