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49. Given, f (x) = $\frac{1+\frac{1}{x}}{1-\frac{1}{x}}=\frac{\frac{x+1}{x}}{\frac{x-1}{x}}=\frac{x+1}{x-1}$

So, f (x) = $\frac{(x-1)\frac{d}{dx}(x+1)-(x+1)\frac{d}{dx}(x-1)}{{(x-1)}^2}$

= $\frac{(x-1)-(x+1)}{{(x-1)}^2}$

$=\frac{x-1-x-1}{{(x-1)}^2}=\frac{-2}{{(x-1)}^2}$

The Oxford Law School world ranking is #2, as given by Quacquarelli Symonds (QS) World Rankings 2025.

Further, the Oxford University, which is the parent institute of the Oxford Law School secures a global rank #3 per the latest Shiksha Popularity Rankings.

On a national level, Oxford Law secures a UK-wide rank #2 per the latest rankings given by Shiksha.

The Oxford Law acceptance rate stands at 10%, making it one of the most selective higher education institutes in the UK & globally.

This comes as no surprise, since the institute consistently ranks among the best law schools worldwide.

Securing admissions at Oxford Law requires strong academic scores with a minimum 90% in the Class 12^th CBSE & CISCE board exams & satisfying some other requirements such as language test scores & submission of other documents.

The tuition fees at Oxford Law School varies for different courses, with a MSc in Law & Finance costing around GBP 53,340 (INR 61.3 L) while a MSc in Taxation costs GBP 19,205 (INR 22 L).

The table below mentions tuition fees for some other popular courses at Oxford Law:

Yes, KJ Somaiya School of Engineering does follow a semester pattern for the MTech programme, which is divided into 4 semesters over the course of 2 years. KJSSE follows a Choice-Based Credit System (CBCS), which provides a flexible and a     student-focused syllabus.

To get admission to the M.Tech programmes at K J Somaiya School of Engineering (KJSSE), candidates must have passed Class 12 from a recognised board in the relevant stream and obtained a valid score in the entrance exam, such as GATE, CUET, or PERA CET. The application process is conducted online. After the provisional selection, candidates must complete document verification, pay the seat acceptance fee, and confirm the admission by paying the course fee.

Candidates need to upload various documents while registering to fill out an online application form for the M.Tech course at KJSSE. The following is the list of documents that need to be uploaded while filling out the application form for the M.Tech at K J Somaiya School of Engineering:

No, INR 1,000 as the application fee at K J Somaiya School of Engineering is not refundable as per the official website. Applicant have to pay this one-time fee while they are submitting their application form to complete the application process. 

Please note that while this information is taken from official channels, it can be changed in the future. 

K J Somaiya School of Engineering admits applicants via online mode. Candidates can go to the official admissions portal to fill out the application for their desired M.Tech specialisation. The steps outlined below are part of the K J Somaiya School of Engineering M.Tech application process:

Step 1.1: Visit the official website.

Step 1.2: Verify the email address.

Step 1.3: Fill out the application form online.

Step 1.4: Appear for the entrance test and/or interview (if applicable).

University of the Potomac allows international students to apply till Sep 1, 2025 for the majority of the courses. However, specific deadlines can vary depending on the programme and term. Hence, students are advised to check out the official website and apply as soon as possible.

Yes, K J Somaiya School of Engineering M.Tech admissions are open for the academic year 2025. Applicants can visit the school's official website to apply for their preferred M.Tech specialisation. However, candidates must review the eligibility criteria before applying for the programme. Those who are eligible must submit the application form along with the required documents and the applicable application fee.

The K J Somaiya School of Engineering BTech fee for the entire two-year course duration is INR 1 lakh. However, the course fee includes all other charges except for tuition. The admission charge, security charges, and other one-time payments may include these elements. Hence, to confirm their admission, candidates need to pay this course fee.

NOTE: The aforementioned fee is taken from the official website/ sanctioning body. It is still subject to change and, hence, is indicative.

Yes, you can get admission to K J Somaiya School of Engineering for MTech without GATE . You can opt for other entrance exams, such as CUET and PERA CET, and if  you pass these exams, you would then be required to present your documents to prove your eligibility for admission.

Admission to CMR Universitys BTech programme is offered through multiple channels: KCET followed by KCET Counselling, COMEDK UGET along with its counselling process, CMRUAT (the university's own entrance test), and JEE Main scores. This provides applicants with flexibility in choosing the path best suited to their academic profile.