Application of Derivatives

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Application of Derivatives

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Application of Derivatives, Class 12 Mathematics NCERT: quick revision in Hindi, about 15 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Rate of change and the chain rule - Marginal cost and marginal revenue - Increasing and decreasing functions - Maxima, minima, and the First and Second Derivative Tests - Absolute maximum and minimum on a closed interval - Tangents and normals to a curve - Approximations and errors using derivatives Timestamps: 0:00 Introduction 0:20 Roadmap 0:46 Rate of change and chain rule 2:02 Rate of change problems: circle and cube 2:54 Marginal cost and marginal revenue 3:43 Mistake: forgetting the chain rule 4:05 Quick quiz 1 4:50 Increasing and decreasing functions 5:55 Mistake: function sign vs derivative sign 6:16 Maxima, minima and derivative tests 8:14 Mistake: derivative zero means extremum 8:49 Quick quiz 2 9:21 Absolute maximum and minimum on a closed interval 10:43 Mistake: forgetting the endpoints 11:05 Quick quiz 3 11:50 Tangents and normals 12:44 Mistake: sign of the normal's slope 12:59 Approximations and error using derivatives 14:03 One-minute recap The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.

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