Differentiate ecos x  with respect to x?

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  1. - ecos x  sin x
  2. - ecos x  cos x
  3. 2ecos x  sin x
  4. - esin x sin x

Answer (Detailed Solution Below)

Option 1 : - ecos x  sin x
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Detailed Solution

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Calculation:

Let y = ecos x.

Using the chain rule:

  y' =  

⇒ 

Conclusion:

∴ The derivative of ecos x with respect to x is:  -ecos x × sin x

Correct Answer: Option 1

Latest Army Havildar SAC Updates

Last updated on Jul 1, 2025

-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).

->The Exam will be held on 9th July 2025.

-> Interested candidates had applied online from 13th March to 25th April 2025.

-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.

-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail. 

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