{"ok":true,"q":"Applications of Derivatives","n":133,"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":"","anchor":""},{"id":"class_11\/physics\/chapter_04_thermodynamics","title":"Chapter 4 — Thermodynamics","class_num":11,"subject":"physics","subject_label":"Physics","summary":"Introduction: This chapter develops the basic concepts of thermodynamics needed to describe heat, work and internal energy and to analyse simple thermodynamic processes. It starts ","topic":"Applications, problem solving and common derivations","anchor":"topic-10"},{"id":"class_12\/chemistry\/chapter_06_aldehydes_ketones_and_carboxylic_acids","title":"Chapter 8 — Aldehydes Ketones And Carboxylic Acids","class_num":12,"subject":"chemistry","subject_label":"Chemistry","summary":"This chapter introduces the chemistry of carbonyl-containing compounds — aldehydes, ketones and carboxylic acids — emphasising structure, nomenclature, methods of preparation, phys","topic":"Derivatives of Carboxylic Acids","anchor":"topic-15"},{"id":"class_11\/mathematics\/chapter_13_limits_and_derivatives","title":"Chapter 13 — Limits And Derivatives","class_num":11,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Limits and Derivatives (NCERT Class 11 Mathematics) — This chapter introduces the foundational concepts of calculus: limits, continuity and the derivative. It explains how","topic":"","anchor":""},{"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_12\/mathematics\/chapter_09_differential_equations","title":"Chapter 9 — Differential Equations","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: Differential Equations (Class 12 NCERT) introduces equations that relate a function with its derivatives. Such equations model how quantities change and are essential","topic":"","anchor":""},{"id":"class_12\/mathematics\/chapter_02_inverse_trigonometric_functions","title":"Chapter 2 — Inverse Trigonometric Functions","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces inverse trigonometric functions (principal values of arcsin, arccos, arctan, arccot, arcsec, arccosec) and their role as the inverses of standard trigonomet","topic":"","anchor":""},{"id":"class_11\/physics\/chapter_02_units_and_measurement","title":"Chapter 2 — Units And Measurement","class_num":11,"subject":"physics","subject_label":"Physics","summary":"This chapter introduces the language of physics: units, measurements, and the treatment of experimental uncertainty. It begins with physical quantities (base and derived), the Inte","topic":"","anchor":""},{"id":"class_11\/physics\/chapter_04_motion_in_a_plane","title":"Chapter 4 — Motion In A Plane","class_num":11,"subject":"physics","subject_label":"Physics","summary":"This chapter introduces motion in two dimensions, extending one-dimensional kinematics to vectors and planar trajectories. It emphasizes vector representation (magnitude and direct","topic":"","anchor":""},{"id":"class_11\/mathematics\/chapter_04_principle_of_mathematical_induction","title":"Chapter 4 — Principle Of Mathematical Induction","class_num":11,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces the Principle of Mathematical Induction (PMI), a fundamental method of proof used to establish that a statement holds for every natural number (or every int","topic":"","anchor":""}]}