Exercise 5.2 | Differentiability Full Solution | Class 12 Maths Chapter 5 | Infinix Classes

Описание: 📘 Chapter 5 – Continuity and Differentiability (Class 12 Maths)
इस वीडियो में Faiz Sir (Infinix Classes) ने Exercise 5.2 के सभी प्रश्नों को पूरी तरह से समझाया है,
जिसमें Differentiability और Chain Rule के सभी important concepts को आसान तरीके से explain किया गया है।

🔥 वीडियो में Discuss किए गए Questions 👇
1️⃣ sin(x² + 5)
2️⃣ cos(sin x)
3️⃣ sin(ax + b)
4️⃣ sec(tan√x)
5️⃣ sin(ax + b) / cos(cx + d)
6️⃣ cos(x³) · sin²(x⁵)
7️⃣ 2√(cot(x²))
8️⃣ cos√x
9️⃣ f(x) = |x – 1| not differentiable at x = 1
🔟 f(x) = [x], 0 less than x less than 3 not differentiable at x = 1 and x = 2

🧮 इस वीडियो में आप सीखेंगे:
✅ Differentiability के Rules और Theorems
✅ Chain Rule का Concept
✅ Trigonometric और Composite Functions का Differentiation
✅ Absolute Value और Greatest Integer Function की Differentiability

🎓 यह वीडियो Class 12 Board Exams, JEE, NEET और Competitive Exams के लिए बहुत उपयोगी है।

📍 Teacher: Faiz Sir
📍 Channel: Infinix Classes – Maths by Faiz Sir
📍 Topic Covered: Continuity & Differentiability – Exercise 5.2 (Complete Solution)

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EXERCISE – 5.2

Differentiate the functions with respect to x in Exercises 1 to 8.
1. sin (x2 + 5)

2. cos (sin x) 3. sin (ax + b)

4. sec (tan(√𝒙 ))

5. 𝐬𝐢𝐧⁡〖(𝒂𝒙+𝒃)〗/𝐜𝐨𝐬⁡〖(𝒄𝒙+𝒅)〗

6. cos x3 . sin2 (x5)

7. 2√(𝐜𝐨𝐭⁡〖(𝒙^𝟐)〗 ) 8. 𝐜𝐨𝐬⁡√𝒙

9. Prove that the function f given by f(x) = |x – 1|, x ∈ R is not differentiable at x = 1.


10. Prove that the greatest integer function defined by f(x) = [x], 0 is less than x is less than 3 is not differentiable at x = 1 and x = 2.