Question
Download Solution PDFफलन f(x) = sin x के संबंध में निम्नलिखित कथनों पर विचार करें:
1. f(x) अंतराल (0, π) में बढ़ता है।
2. f(x) अंतराल
उपरोक्त कथनों में से कौन सा/से सही है/हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
फलन f(x):
- f'(x) > 0 होने के x मानों के लिए बढ़ता है
- f'(x) < 0 होने के x मानों के लिए घटता है
गणना:
दिया गया फलन f(x) = sin x है
∴ f'(x) = cos x
x ∈ (0,
∴ x ∈ (0, π) के लिए, f (x) अधिकतम
x ∈
∴ f(x) x ∈
statement 2 is correct Only.
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