Bölümler

  • Application of Derivatives

    Application of Derivatives
    18 Oct 2026
    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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    15 dk.
  • Ch 5 Continuity and Differentiability | Class 12 Mathematics in Hindi

    Ch 5 Continuity and Differentiability | Class 12 Mathematics in Hindi
    14 Oct 2026
    Continuity and Differentiability, Class 12 Mathematics NCERT: quick revision in Hindi, about 14 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Definition of continuity at a point - Discontinuous function examples - Algebra of continuous functions - Differentiability and its link to continuity - Chain rule - Implicit differentiation - Derivatives of inverse trig, exponential and log functions - Logarithmic differentiation and parametric form Timestamps: 0:00 Introduction 0:18 Roadmap 0:48 Definition of continuity at a point 1:33 Examples of discontinuous functions 2:06 Mistake: limit existing is not continuity 2:28 Quick quiz 1 3:00 Piecewise functions and continuity on intervals 3:41 Algebra of continuous functions 4:20 Definition of differentiability 4:48 Mistake: continuous does not mean differentiable 5:19 Chain rule for composite functions 6:11 Mistake: forgetting the inner derivative 6:28 Differentiating implicit functions 7:29 Mistake: forgetting dy/dx in implicit differentiation 7:48 Quick quiz 2 8:23 Derivatives of inverse trigonometric functions 8:56 Derivatives of exponential and log functions 9:41 Mistake: domain of log x 9:57 Logarithmic differentiation 10:37 Mistake: forgetting to multiply by y 11:00 Derivatives in parametric form 11:34 Second order derivative 12:15 Mistake: parametric second derivative 12:35 Quick quiz 3 13:00 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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    14 dk.
  • Ch 2 Inverse Trigonometric Functions | Class 12 Mathematics in Hindi

    Ch 2 Inverse Trigonometric Functions | Class 12 Mathematics in Hindi
    12 Oct 2026
    Inverse Trigonometric Functions, Class 12 Mathematics NCERT: quick revision in Hindi, about 14 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - When a function has an inverse (one-one and onto) - Principal value branches of all six inverse trig functions - Finding principal values of inverse trig expressions - Properties: sin(sin inverse x) and sin inverse(sin x) - Formulas for negative arguments - Complementary identities (sin inverse x + cos inverse x, etc.) - Addition formulas for sin inverse and tan inverse - Writing inverse trig expressions in simplest form Timestamps: 0:00 Introduction 0:23 Roadmap 0:48 When does a function have an inverse? 1:24 Mistake: assuming every function has an inverse 1:39 Principal value branch of sin inverse and cos inverse 2:46 Domain and range of tan, cot, cosec, sec inverse 3:38 How to find principal values 4:33 Mistake: answer outside the range 4:59 Quick quiz 1 5:36 Properties of sin(sin inverse x) and sin inverse(sin x) 6:14 Mistake: assuming sin inverse of sin x is always x 6:39 Formulas for negative arguments 7:13 Complementary identities 8:12 Quick quiz 2 8:39 Addition formula for sin inverse 9:49 Addition formula for tan inverse 10:57 Mistake: forgetting the correction term 11:18 Quick quiz 3 11:55 Writing expressions in simplest form 12:30 One-minute recap Next chapter: Matrices The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    14 dk.