Question
Download Solution PDFx এর মান নির্ণয় করুন যার জন্য f(x) = x - e x একটি ক্রমবর্ধমান ফাংশন হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFঅনুসৃত ধারণা:
- যদি f′(x) > 0 তাহলে ফাংশনটি বৃদ্ধি পাচ্ছে বলে বলা হয়।
- যদি f′(x) <0 হয় তাহলে ফাংশনটি হ্রাস পাচ্ছে বলা হয়।
গণনা:
প্রদত্ত:
f(x) = x - ex
x এর সাথে পার্থক্য করে, আমরা পাই
⇒ f'(x) = 1 - ex
ফাংশন বাড়ানোর জন্য,
f'(x) > 0
⇒ 1 – ex > 0
⇒ ex < 1
⇒ ex < e0
∴ x < 0
সুতরাং, x ∈ (-∞, 0)
Last updated on May 30, 2025
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