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COMEDK2017MathematicsApplication of Derivatives

Find the approximate value of (15)^ 1 4 .

Options

  1. A1.9688
  2. B0.9687
  3. C2.0312
  4. D0.1968

Correct answer

A. 1.9688

Step-by-step solution

Let f(x)=x^ 1 / 4 f^ (x)= 1 4 x^ 3 / 4 Now, a+h=15=16-1 , where aligned & We know, f(a+h)=f(a)+h f^ (a) & f(15) f(16)-1 f^ (16) & (15)^ 1 / 4 (16)^ 1 / 4 - 1 4(16)^ 3 / 4 2- 1 32 & (15)^ 1 / 4 2-0.03125 1.9688 aligned a=16, h=-1

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