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MHT CET202013 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

The approximate value of ⁻¹(1 001) is

Options

  1. A4 -0 0005
  2. B4 +0 005
  3. C4 +0 0005
  4. D4 -0 005

Correct answer

A. 4 -0 0005

Step-by-step solution

Let f(x)= ⁻¹ x f^ (x)= -1 1+x² Let, a =1, ~h =0.001 Now f ( a )= ⁻¹ 1= 4 and f ^ ( a )= -1 1+1 =- 1 2 We know that, f(a+h) f(a)+h f^ (a)= 4 +(0.001) (- 1 2 )= 4 -0.0005

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