#1 GATE CSE 2024 | Set 1 | Question on Differentiability || GateGeeks

#1 GATE CSE 2024 | Set 1 | Question on Differentiability || GateGeeks #gate2024 #gatepyqs #gate

Welcome back, GATE aspirants! In this video, we'll delve into the solution for a particular question from the GATE CSE 2024 exam, Set 1, Question 1, which pertains to the domain of Calculus. This question, though deemed easy, holds importance in understanding the concept of non-differentiability within functions.

Introduction to the Problem:
We begin by dissecting the question and understanding its essence. The problem presents us with a function
f(x)
x belongs to the set of real numbers.

Understanding Absolute Value Functions:
To comprehend the function
f(x), it's pivotal to grasp the behavior of absolute value functions. Absolute value functions have distinctive characteristics based on the intervals of

x, and these nuances significantly impact the differentiability of the overall function.

Analyzing Differentiability:
Our next step involves a meticulous analysis of the differentiability of

f(x) across its domain. We'll scrutinize various intervals of
x to pinpoint the points where
f(x) is not differentiable.
Identifying Non-Differentiable Points:
By examining the behavior of

f(x) around critical points and transition regions, we'll identify the set of points where the function fails to be differentiable.

Graphical Representation:
To solidify our understanding, we'll graph
f(x) and visually inspect its behavior. Graphical representation often provides invaluable insights into the characteristics of functions, aiding in the identification of non-differentiable points.

Conclusion and Summary:
In the final segment, we'll summarize our findings, reiterating the points of non-differentiability within the function

f(x). A succinct conclusion will encapsulate the essence of the problem and its solution, ensuring clarity and comprehension.

Additional Notes:
Throughout the video, we'll elucidate key concepts, offer insights, and provide step-by-step explanations to facilitate a thorough understanding of the problem and its solution. Additionally, we encourage active engagement from viewers, welcoming questions, comments, and discussions to foster a collaborative learning environment.

So, if you're ready to delve into the realm of calculus and unravel the mysteries of non-differentiability, join us in deciphering the solution to this GATE CSE 2024 question. Let's embark on this educational journey together and enhance our proficiency in calculus concepts. Don't forget to like, share, and subscribe for more insightful content. Let's dive in!

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