Q146
The derivative of f(x) = cos x can be estimated using the approximation \[ f' ( x ) = f ( x + h ) - f ( x - h )2 h.\] The percentage error is calculated as \[ ( Exact value - Approx value Exact value × 100 )\] The percentage error in the derivative of f(x) at \[ x = /6\] radian choosing h = 0.1 radian is
The derivative of f(x) = cos x can be estimated using the approximation
The percentage error is calculated as
The percentage error in the derivative of f(x) at radian choosing h = 0.1 radian is
The percentage error is calculated as
The percentage error in the derivative of f(x) at radian choosing h = 0.1 radian is
A.
> 1% and < 5%
B.
< 0.1%
C.
> 0.1% and < 1%
AnswerD.
> 5%
Answer: Option C
Solution
Answer: Option C
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