Class 12 Maths | Continuity & Differentiability Part 2 | Important Questions & Concepts | CUET скачать в хорошем качестве

Class 12 Maths | Continuity & Differentiability Part 2 | Important Questions & Concepts | CUET

Welcome to Part 2 of the Continuity and Differentiability series for CUET 2026 Mathematics with Neetu Ma'am! 🎓 In this session, we conclude the topic of Continuity and then dive deep into Differentiability. We cover how to check if a function is differentiable at a point, in an interval, and the crucial relationship between Continuity and Differentiability. 🔥 Topics Covered: Recap: Relationship between Continuity and Differentiability. Differentiability at a Point: Left Hand Derivative (LHD) vs Right Hand Derivative (RHD). Condition for Differentiability: LHD=RHD=Finite Value. Important Theorem: Every differentiable function is continuous, but the converse is not true (Example: ∣x∣ at x=0). Algebra of Differentiability: Sum, Difference, Product, and Quotient rules. Standard Differentiable Functions: Polynomial, Exponential, Logarithmic, Trigonometric. L'Hospital's Rule (Bonus Trick): A shortcut to evaluate indeterminate limit forms like 0/0. Important Questions: Checking differentiability of ∣x∣, piecewise functions. Finding values of unknown constants (a, b) for differentiable functions. Points of non-differentiability in a given interval. ⏳ Timestamps: 0:00 - Relation between Continuity & Differentiability 04:00 - Introduction to Differentiability at a Point 07:30 - Formula for LHD and RHD (First Principle) 11:15 - Example 1: Show f(x) = |x| is not differentiable at x=0 16:00 - Example 2: Check differentiability of piecewise function at x=2 19:25 - Example 3: Function continuous but not differentiable (x sin(1/x)) 26:55 - Differentiability in Entire Domain, Open & Closed Intervals 33:15 - Graphical Meaning of Differentiability (Smooth vs Sharp corners) 38:40 - Algebra of Differentiability 42:50 - Standard Differentiable Functions List 46:15 - Example 4: Find 'a' and 'b' if function is differentiable (Imp) 53:30 - L'Hospital's Rule: Shortcut for Limits 1:00:05 - Example 5: Points of non-differentiability for |sin x| 🚀 Ace your Class 12 Maths with Aspiring Aces! This video is essential for CBSE Board Exams and CUET preparation. 📌 Connect with Aspiring Aces: Address: A1/1, Prashant Vihar, Sector-14, Rohini, Delhi Phone: 9266625029 | 011-44761030 Website: www.aspiringaces.in 👇 Follow us on Social Media: Instagram:   / aspiringaces_official   Facebook: https://www.facebook.com/profile.php?... Telegram: https://t.me/ASPIRINGACES 🔔 Subscribe to our channel for the complete Class 12 Maths series! 👍 Like the video if you found the explanation helpful! 💬 Comment your doubts below. #Class12Maths #Differentiability #ContinuityAndDifferentiability #CUET2026 #CBSEClass12 #NeetuMam #AspiringAces #Calculus #LHDS_RHD #mathsoneshot