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Mathematics · JEE | APPLICATION OF DERIVATIVES

हिन्दी

Find the maximum and minimum values of \( f(x) = |x| \) on \( \mathbb{R} \).

  1. A
    Minimum = -1, Maximum = 1 / न्यूनतम = -1, अधिकतम = 1
  2. B
    Minimum = 0, Maximum = 1 / न्यूनतम = 0, अधिकतम = 1
  3. C
    Minimum does not exist, Maximum = 0 / न्यूनतम का अस्तित्व नहीं है, अधिकतम = 0
  4. D
    Minimum = 0, Maximum does not exist / न्यूनतम = 0, अधिकतम का अस्तित्व नहीं है
View Answer & Solution

Correct answer · Option D

Minimum = 0, Maximum does not exist / न्यूनतम = 0, अधिकतम का अस्तित्व नहीं है

Explanation

Absolute value function \( |x| \ge 0 \) with minimum at \( x = 0 \) being 0, and since it increases unboundedly, it has no maximum value.
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