Скачать или смотреть 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.

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📅 THE CHALLENGE: 1 JEE Advanced PYQ every day until May 17, 2026.

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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.

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