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Consider the function ( f(x)=x^{4} ). What is the percentage error occurred in computing ( f^{prime}(3) ) approximately using the points ( x=3, x=3.25 ),

Consider the function \( f(x)=x^{4} \). What is the percentage error occurred in computing \( f^{\prime}(3) \) approximately using the points \( x=3, x=3.25 \), and \( x=3.5 \) ? Use the three points forward difference formula \[ f^{\prime}\left(x_{i} ight) \approx \frac{-3 f\left(x_{i} ight)+4 f\left(x_{i+1} ight)-f\left(x_{i+2} ight)}{2 h} . \]

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