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The derivative of f(x) = cos x can be estimated using...

This question belongs to Engineering Maths Calculus
Calculus
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The derivative of f(x) = cos x can be estimated using the approximation \[{\text{f}}'\left( {\text{x}} \right) = \frac{{{\text{f}}\left( {{\text{x}} + {\text{h}}} \right) - {\text{f}}\left( {{\text{x}} - {\text{h}}} \right)}}{{2{\text{h}}}}.\]
The percentage error is calculated as \[\left( {\frac{{{\text{Exact value}} - {\text{Approx value}}}}{{{\text{Exact value}}}} \times 100} \right)\]
The percentage error in the derivative of f(x) at \[{\text{x}} = \frac{\pi }{6}\]  radian choosing h = 0.1 radian is

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Correct Answer: Option C
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