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Consider the function f(x) = |x|3, where x is real. Then the function f(x) at x = 0 is

a)Continuous but not differentiable 
b)Once differentiable but not twice 
c)Twice differentiable but not thrice 
d)Thrice differentiable
Correct answer is option 'C'. Can you explain this answer?

Ref: https://edurev.in/question/521162/Consider-the-function-f-x-x3-where-x-is-real-more-Then-the-function-f-x-at-x-0-isa-Continuous


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1. What is the GATE exam?
Ans. The Graduate Aptitude Test in Engineering (GATE) is a national level entrance exam conducted in India. It is conducted jointly by the Indian Institute of Science (IISc) and seven Indian Institutes of Technology (IITs) to evaluate the comprehensive understanding of various undergraduate subjects in science and engineering.
2. How can I apply for the GATE exam?
Ans. To apply for the GATE exam, candidates need to visit the official website of GATE and fill out the online application form. The application process typically involves registration, filling personal and academic details, uploading required documents, and paying the application fee. Detailed instructions and guidelines can be found on the official GATE website.
3. What is the eligibility criteria for the GATE exam?
Ans. The eligibility criteria for the GATE exam vary based on the candidate's educational qualification. Generally, candidates who have completed or are in the final year of their Bachelor's degree in Engineering/Technology or Master's degree in any relevant science subject are eligible to apply. Specific eligibility details can be found in the official GATE information brochure.
4. What are the benefits of qualifying the GATE exam?
Ans. Qualifying the GATE exam opens up various opportunities for candidates. Some of the benefits include admission to postgraduate programs in prestigious institutes, such as IITs and NITs, securing jobs in renowned companies through campus placements, and eligibility for scholarships and financial assistance. GATE score is also considered for recruitment in public sector undertakings (PSUs).
5. How is the GATE exam conducted and evaluated?
Ans. The GATE exam is a computer-based test (CBT) conducted over multiple sessions. The exam consists of multiple-choice questions (MCQs) and numerical answer type questions (NATs). Each question carries either 1 or 2 marks, and negative marking is applicable for wrong answers. The final score is calculated based on the normalized marks obtained by the candidates and is used for ranking and cut-off purposes.
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