Question: 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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