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Скачать или смотреть Introduction to Application of Derivatives | Class 12 Maths | Application of Derivatives

  • NextLeap AI
  • 2025-09-08
  • 9
Introduction to Application of Derivatives | Class 12 Maths | Application of Derivatives
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Описание к видео Introduction to Application of Derivatives | Class 12 Maths | Application of Derivatives

📈 Understand the Power of Derivatives in Real Life!
In this video, we begin Chapter 6 of Class 12 Mathematics – Applications of Derivatives with an engaging introduction. Derivatives are not just abstract formulas—they are used everywhere: in physics to measure velocity and acceleration, in economics to maximize profit, and in geometry to find tangents and turning points.
We’ll start with why applications of derivatives matter, move to core areas like rate of change, tangents, normals, and extrema, and even work through an advanced solved example on the rate of change of a circle’s area. You’ll also see how approximations by differentials make real-life calculations simpler. Finally, we’ll wrap up with a crisp concept closure so everything is exam-ready.
This video is designed to make calculus practical, easy to follow, and directly connected to both board exams and real-world problem-solving.

📚 What You’ll Learn in This Video
1️⃣ Why Applications of Derivatives? – The motivation and real-world need.
2️⃣ Core Areas of Application – Rates of change, tangents, monotonicity, and optimization.
3️⃣ Rate of Change of Quantities – Understanding motion, growth, and everyday change.
4️⃣ Tangents and Normals – Using derivatives in geometry for slopes and perpendiculars.
5️⃣ Maxima and Minima Overview – Identifying turning points with derivative tests.
6️⃣ (Advanced Solved Example): Worked Example on Rate of Change – Step-by-step problem-solving.
7️⃣ Approximation by Differentials – Using derivatives to estimate values quickly.
8️⃣ Concept Closure – Applications of Derivatives – Quick recap for exams.

🎯 Why Watch This Video?
✔ Exam-Oriented – Full coverage as per CBSE Class 12 syllabus.
✔ Step-by-Step Explanation – Each subtopic explained with clarity and logic.
✔ Real-Life Relevance – Applications in physics, economics, and geometry.
✔ Solved Example – Strengthens your problem-solving approach.
✔ Board-Focused – Ideal for last-minute revision and exam confidence.

#NextLeapAI #Class12Maths #ApplicationOfDerivatives #MathsClass12 #CBSEMaths #Derivatives #Calculus #RateOfChange #TangentAndNormal #MaximaMinima #Approximation #BoardExamPrep #StudyWithNextLeap #MathsMadeEasy

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