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MHT CET2007MathematicsApplication of Derivatives

The positive root of x²-78.8=0 after first approximation by Newton Raphson method assuming initial approximation to the root is 14, is

Options

  1. A9.821
  2. B9.814
  3. C9.715
  4. D9.915

Correct answer

B. 9.814

Step-by-step solution

Here, x₀=14, f(x)=x²-78.8 and f^ (x)=2 x aligned x₁=x₀-& f (x₀ ) f^ (x₀ ) &=14- (14)²-(78.8) 2 14 =9.814 aligned

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