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NDA2021MathematicsApplication of DerivativesActual

Consider the following statements in respect of the function f(x)=x^2+1 in the interval (1,2) . 1. The maximum value of the function is 5 . 2. The minimum value of the function is 2 . Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

D. Neither 1 nor 2

Step-by-step solution

Hence, f(x)=x^2+1 aligned & f^ (x)=2 x & when f^ (x)=0 x=0 & but x=0, (1,2) aligned f(x) does not have any maxima and minima for the given interval.

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