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AP EAMCET201823 Apr 2018Evening ShiftMathematicsApplication of DerivativesActual

An approximate value of [4] 18 is

Options

  1. A2.0512
  2. B2.0425
  3. C2.0625
  4. D2.0834

Correct answer

C. 2.0625

Step-by-step solution

Let y=f(x)=x^ 1 / 4 and x=16 and x=2 So, y= ( d y d x ) x= 1 4 (x^ -3 / 4 ) x at x=16 and x=2 y= 1 4 1 8 2= 1 16 and y=(16)^ 1 / 4 =2 So, y+ y=2+ 1 16 =2.0625

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