Question
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निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें:
माना f(x) = cos2x + x, जहाँ x [-π/2, π/2] में है।
f(x) का महत्तम मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है:
f(x) = cos2x + x on [-π/2, π/2].
⇒ f'(x) = - 2 sin 2x + 1
उच्चिष्ठ और निम्निष्ठ के लिए, f'(x) = 0
Sin2x = 1/2
x = π/12 या 5π/12 (अंतराल में नहीं)
इसलिए f(x) का अधिकतम मान x = π/12 पर होता है
=
∴ विकल्प (b) सही है।
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