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MHT CET202016 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

The approximate value of the function f(x)=x³-3 x+5 at x=1.99 is

Options

  1. A6.91
  2. B6.94
  3. C7.94
  4. D7.91

Correct answer

A. 6.91

Step-by-step solution

(D) f(x)=x³-3 x+5 f^ (x)=3 x²-3 Let a=2, h=-0.01 f(a)=f(2)=2³-3(2)+5=7f^ (a)=f^ (2)=3(2)²-3=9 We know that f(a+h) f(a)+h f^ (a)f(1.99) 7-(0.01)(9) 7-0.09 6.91

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