tan-1x के संबंध में  का अवकलज है:

This question was previously asked in
AAI ATC Junior Executive 21 Feb 2023 Shift 2 Official Paper
View all AAI JE ATC Papers >
  1. 1

Answer (Detailed Solution Below)

Option 2 :
Free
AAI ATC JE Physics Mock Test
15 Qs. 15 Marks 15 Mins

Detailed Solution

Download Solution PDF

दिया गया है:

tan-1x के संबंध में  का अवकलज है:

अवधारणा:

g(x) के संबंध में f(x) का अवकलज  है।

गणना:

माना  और g(x) = tan-1x

फिर f(x) में x = tanθ रखने पर

\(\rm f(x)=\tan^{-1}\left(\frac{sec\theta-1}{tan\theta}\right)\)

अवकलित करने पर

हमारे पास g(x) = tan-1x है

अवकलित करने पर

अब g(x) के संबंध में f(x) का अवकलज निम्न है

अतः विकल्प (2) सही है।

Latest AAI JE ATC Updates

Last updated on Jun 19, 2025

-> The AAI ATC Exam 2025 will be conducted on July 14, 2025 for Junior Executive.. 

-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025. 

-> AAI JE ATC 2025 notification is released on April 4, 2025, along with the details of application dates, eligibility, and selection process.

-> A total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.

-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in the Airports Authority of India (AAI).

-> The Selection of the candidates is based on the Computer-Based Test, Voice Test and Test for consumption of Psychoactive Substances.

-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).

-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.

-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.

More Evaluation of derivatives Questions

More Differential Calculus Questions

Hot Links: teen patti download apk teen patti master apk best teen patti casino apk teen patti wink