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📘 Class 12 Chapter 5 – Continuity and Differentiability | SECOND ORDER DERIVATIVE | Complete Exercise 5.7 Solutions In this video, Faiz Sir (Infinix Classes) explains Second Order Derivative in the most simple and exam-oriented way. Is video me humne NCERT Class 12 Maths Exercise 5.7 ke sare questions solve kiye hain, jisme advanced differentiation concepts use hote hain. 👉 Class 12 CBSE, Boards, JEE (Basics), CUET aur school exams ke liye bahut hi important chapter. 👉 Step-by-step derivation + formulas + shortcuts + tricks included. 📝 Topics Covered in This Video: 🔹 Second Order Derivative Concepts – d²y/dx² basics – Higher order differentiation – Relations involving second derivative 🔹 Exercise 5.7 Questions Covered: x³ log x eˣ sin 5x e⁶ˣ cos 3x tan⁻¹ x log(log x) sin(log x) 🔹 Prove-Type Questions: If y = 5cos x – 3sin x, prove that d²y/dx² + y = 0 If y = cos⁻¹ x, find d²y/dx² in terms of y If y = 3cos(log x) + 4sin(log x), show that x²y² + xy¹ + y = 0 If y = A eᵐˣ + B eⁿˣ, show relation with second derivative If y = 500e⁷ˣ + 600e⁻⁷ˣ, show that d²y/dx² = 49y If eʸ(x + 1) = 1, show that d²y/dx² = (dy/dx)² If y = (tan⁻¹ x)², show that (x² + 1)² y² + 2x(x² + 1) y¹ = 2 ⭐ Why Watch This Video? ✔ 100% NCERT Based ✔ Board Exam Oriented Explanations ✔ Short Tricks & Logic Based Learning ✔ Notes + Concept Clarity ✔ Faiz Sir’s Trusted Teaching Style 📚 Suitable For: ✔ Class 12 CBSE Students ✔ Class 12 State Board Students ✔ JEE Aspirants (Basics) ✔ CUET Preparation ✔ Competitive Exams (Foundation) 🔔 Don’t Forget: 👍 Like 💬 Comment 📌 Share 🔔 Subscribe to Infinix Classes for more high-quality Maths videos! Class 12 second order derivative, class 12 Exercise 5.7 solutions, continuity and differentiability class 12, second derivative NCERT, Infinix Classes maths, Faiz Sir maths, class 12 maths chapter 5, NCERT class 12 maths, differentiation class 12, exercise 5.7 class 12 hindi explanation, parametric differentiation class 12, logarithmic differentiation class 12, jEE differentiation basics, class 12 CBSE maths, class 12 important questions maths, maths by Faiz Sir, Infinix Classes chapter 5 #class12maths #continuityanddifferentiability #secondorderderivative #Exercise57 #ncertmaths #faizsir #infinixclasses #class12boards #differentiation #mathslecture #cbsemaths #Class12ImportantChapter #mathssolutions #ncertsolutions #mathsshorttricks #infinixclasses #infinixclassesgopalganj #mathsbyfaizsir