1.

The derivative of f(x) = cos(x) can be estimated using the approximation \(f'\left( x \right) = \frac{{f\left( {x + h} \right) - f\left( {x - h} \right)}}{{2h}}\) . The percentage error is calculated as \(\left( {\frac{{Exact\;value - Approximate\;value}}{{Exact\;value}}} \right) \times 100\). The percentage error in the derivative of f(x) at x = π/6 radian, choosing h = 0.1 radian, is

A. < 0.1 %
B. > 0.1 % and < 1 %
C. > 1 % and < 5 %
D. > 5 %
Answer» C. > 1 % and < 5 %


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