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Manipal MET2016MathematicsApplication of Derivatives

The number of values of x , where f(x)= x+ 2 x attains its maximum is

Options

  1. A1
  2. B0
  3. C2
  4. Dinfinite

Correct answer

A. 1

Step-by-step solution

Given, f(x)= x+ 2 x array ll & f^ (x)=- x- 2 2 x & f^ (x)=- x-2 2 x array For extremum value, put f^ (x)=0 - x- 2 2 x=0 x=0 At x=0, f^ (x) 0 (maximum) Hence, f(x) is maximum only once.

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