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NDA2022MathematicsApplication of DerivativesActual

How many extreme values does 4 x+2 x , where 0 x 2 have?

Options

  1. A1
  2. B2
  3. C4
  4. D8

Correct answer

B. 2

Step-by-step solution

aligned & Let f ( x )= 4 x +2 x & f ^ ( x )=4 4 x +2=0 aligned aligned & 4 x =- 1 2 = ( - 3 ) & 4 x =2 n 2 3 & x = n 2 6 & x = 6 , 3 [ 0 x 2 ] aligned

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