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For decreasing the number of iterations in Newton Raphson method:
a) The value of $\mathrm{f}^{\prime}(\mathrm{x})$ must be increased
b) The value of $f^{\prime \prime}(x)$ must be decreased
c) The value of $f^{\prime}(x)$ must be decreased
d) The value of $f^{\prime \prime}(x)$ must be increased
in Mathematics by Bronze Status (5.8k points) | 16.6k views

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Best answer

Answer:

(a)

Explanation:

Iterative formula is given by $x(1)=x(0)+\dfrac{f(x(0))}{f^{\prime} x(x(0))}$
Hence if $\mathrm{f}^{\prime}(\mathrm{x})$ decreases the value of next iteration approaches the initial one. This decreases the number of iterations in finding out next iterative value.

by Bronze Status (5.8k points)

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