ecos x का x के सापेक्ष अवकलन ज्ञात कीजिए। 

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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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गणना:

मान लीजिए, y = ecos x

श्रृंखला नियम का उपयोग करने पर:

y' = \( \frac{d}{dx} e^{\cos x} \)

\( y' = e^{cos x } \frac{d}{dx} \cos x \)

\(y' = -e^{\cos x} \sin x \)

निष्कर्ष:

∴ x के सापेक्ष ecos x का अवकलज है: -ecos x sin x

सही उत्तर: विकल्प 1 है। 

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-> 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.

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

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