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Find the first derivative of ex In a + ea In x + ea In a.

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AAI ATC Junior Executive 27 July 2022 Shift 1 Official Paper
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  1. ax + axx-1 + aa
  2. ax In a + axx-1 + aa
  3. ax In a + axa-1
  4. ax + axx-1 

Answer (Detailed Solution Below)

Option 3 : ax In a + axa-1
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Detailed Solution

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Solution:

ex In a + ea In x + ea In a

= 

= ax + xa + aa

Now the first derivative is

= 

= axln a + axa-1 + 0

= axln a + axa-1

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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.

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