Question
Download Solution PDFफलन f(x) = 4 sin2 x + 1 का अधिकतम मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
दिया गया है: f(x) = 4 sin2 x + 1
निम्न को ज्ञात करने के लिए: f(x) का अधिकतम मान
हम जानते हैं कि, sin x की परास [-1, 1] है, अर्थात्
-1 ≤ sin x ≤ 1
समिकाओं का वर्ग करने पर, हमें निम्न प्राप्त होता है
⇒ 0 ≤ sin2 x ≤ 1
⇒ 0 ≤ 4sin2 x ≤ 4
⇒ 1 ≤ 4sin2 x + 1 ≤ 5
⇒ 1 ≤ f(x) ≤ 5
अतः f(x) का अधिकतम मान 5 है।
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