1. Consider f(x) = (1 + Inx). Evaluate approximation of f'(2) using the f(2+h)-f(2) h approximation...

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1. Consider f(x) = (1 + Inx)³. Evaluate approximation of f'(2) using the f(2+h)-f(2) h approximation formula ≈ f'(2) a) h = 0.2, h = 0.1, h = 0.01, h = 0.01 b) Evaluate f'(2) c) Evaluate Absolute True Error (Et) and Absolute Relative True Error (E+). Fill in the Table below. h 0.2 0.1 0.01 0.001 f(2+h)-f(2) h Absolute True Error (Et) Absolute Relative True Error (Et) Absolute Relative Approximate Error (E₂) d) Write out a code which calculates the blanks in the Table above. 1. Consider f(x) = (1 + Inx)³. Evaluate approximation of f'(2) using the f(2+h)-f(2) h approximation formula ≈ f'(2) a) h = 0.2, h = 0.1, h = 0.01, h = 0.01 b) Evaluate f'(2) c) Evaluate Absolute True Error (Et) and Absolute Relative True Error (E+). Fill in the Table below. h 0.2 0.1 0.01 0.001 f(2+h)-f(2) h Absolute True Error (Et) Absolute Relative True Error (Et) Absolute Relative Approximate Error (E₂) d) Write out a code which calculates the blanks in the Table above.