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COMEDK2023MathematicsApplication of Derivatives

Let f(x)=a+(x-4)^ 4 9 , then minima of f(x) is

Options

  1. A4
  2. Ba
  3. Ca-4
  4. DNone of these

Correct answer

B. a

Step-by-step solution

f(x)=a+(x-4)^ 4 / 9 f^ (x)=0+ 4 9 (x-4)^ -5 / 9 Clearly, at x=4, f^ (x) is not defined Hence, x=4 is the point of extremum. f(4)=a+(4-4)^ 4 / 9 =a The minimum value of f(x) is a .

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