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MHT CET2016MathematicsApplication of Derivatives

The approximate value of f x = x 3 + 5 x 2 - 7 x + 9 a t x = 1.1 is

Options

  1. A8.6
  2. B8.5
  3. C8.4
  4. D8.3

Correct answer

A. 8.6

Step-by-step solution

f x + h = f x + h f ' x Here, x = 1 , h = 0.1 , f ' x = 3 x 2 + 10 x - 7 ∴ f 1 + 0.1 = f 1 + 0.1 × f ' ( 1 ) = 8 + 0.1 × 6 = 8.6

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