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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Application of Derivatives

NDA 2023 · Mathematics · Application of Derivatives

Let f(x)= 2-x + 2+x . What is the greatest value of the function?

Let f(x)=2−x+2+xf(x)=\sqrt{2-x}+\sqrt{2+x}. What is the greatest value of the function?

Options

  1. A3\sqrt{3}
  2. B6\sqrt{6}
  3. C8\sqrt{8}
  4. D4

Correct answer

C. 8\sqrt{8}

Step-by-step solution

If we put x=0x=0 then f(x)=22=8f(x)=2 \sqrt{2}=\sqrt{8} is greatest value of f(x)f(x)
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