Don't Get Trapped by [4x]! Mastering Continuity & Differentiability | JEE Advanced (Day 09/90) скачать в хорошем качестве

Don't Get Trapped by [4x]! Mastering Continuity & Differentiability | JEE Advanced (Day 09/90)

Day 09 of our 90-Day Challenge features a multi-concept problem from JEE Advanced (2023 Paper 2 Q6) involving the Greatest Integer Function $[x]$ and its impact on differentiability. Students often miss the critical points where the polynomial parts "save" the function from jumps. In this Masterclass, we analyze: Critical Points of $[4x]$: Identifying the potential jump points at $x = \frac{1}{4}, \frac{1}{2}, \frac{3}{4}$. The "Zero-Power" Rule: How $(x - \frac{1}{4})^2$ and $(x - \frac{1}{2})$ dictate continuity and differentiability at the boundaries. Finding the Global Minimum: Calculating the vertex of the quadratic portion to verify the minimum value. Option Elimination: Proving why Statement (B) is the subtle trap of this entire question. #JEEAdvanced #CalculusMasterclass #IITJEE2026 #90DayChallenge #MathsPYQ #GreatestIntegerFunction #jeepreparation 📅 THE CHALLENGE: 1 JEE Advanced PYQ every day until May 17, 2026. #JEEAdvanced #PhysicsPYQ #RelativeMotion #90DayChallenge #IIScAlumnus #Kinematics #JEE2026 JEE Advanced Physics, Relative Motion, Kinematics PYQ, JEE Advanced 2014, Plane Motion Physics, Relative Velocity Trick, 90 Day Challenge JEE, Qubit Educational Services, Pranesh Muddebihal, IISc Alumnus Physics, IAT Physics, NEST Exam Preparation. #JEEAdvanced #IITJEE #PhysicsMasterclass #Oscillations #JEEPhysics #IITPreparation #ConceptsCleared Concepts Building | | IISER | JEE #iiser_aptitude_test #qubiteducationalservices #iiser2024 #iiser2025 #iiser2026 #jeeadvanced #nationalentrancescreeningtest #niser #iiser2027 #IAT2026 #iat2027 #iat2028 #JEEAdvanced #IITJEE #MathsTricks #90DayChallenge #JEE2026 #Calculus #JEEMaths #PYQ #Education #StudyHack #Mechanics #IITJEE #WorkEnergy #CircularMotion #JEE2026 #physicssolutions Join the Concept Development Programme (CDP), specifically designed for JEE/IAT/ NEST! Write to us at qubitclasses@gmail.com or praneshm@alum.iisc.ac.in JEE Advanced PYQs Playlists Physics :    • JEE Advanced Physics Solutions   Maths :    • JEE Advanced Mathematics Solutions   IISER PYQs Playlists 2024 Maths and Physics :    • IAT 2024 Solutions   2023 Maths and Physics :    • IAT 2017 Solutions Physics   2022 Maths :    • IISER Aptitude Test 2022 Set B Detailed So...   2022 Physics :    • IAT 2022 Solutions Physics   2021 Maths :    • IISER Aptitude Test 2021 | Mathematics Sol...   2021 Physics :    • IAT 2021 Solutions Physics   2020 Maths :    • IAT 2020 Solutions Maths   2020 Physics :    • IAT 2020 Solutions Physics   2019 Maths :    • IAT 2019 Solutions Maths   2019 Physics :    • IAT 2019 Solutions Physics   2018 Maths :    • IAT 2018 Solutions Maths   2018 Physics :    • IAT 2018 Solutions Physics   2017 Maths :    • IAT 2017 Solutions Maths   2017 Physics :    • IAT 2018 Solutions Physics   For doubts/ queries, you can reach us at qubitclasses@gmail.com Follow us on the following social media platforms to get regular updates : Are you passionate about science and its allied disciplines? Follow us on Instagram to know interesting stuff! 1) Instagram :   / qubit_pune   2) Facebook :   / qubitpune   3) Our Website : https://www.qubitpune.com 4) Twitter :   / qubit_pune