Please help me to solve this Numerical Algorithmes & Linear Algebra for computer science step by step !!!! Thank you !!

4. The derivative of f(x) = is given by 6.1 (1 3x2)? (a) Why would you expect to have difficulties evaluating the derivative at x = 0.5773? (Hint: Where does the denominator of the derivative equal zero?) (b) Evaluate the derivative at x = 0.5773, using 4-digit arithmetic with chopping. (Re- minder: do EACH calculation and chop to 4 digits before going on to the next calculation.) (C) Now evaluate the derivative using the full precision of your calculator (no chopping). Call this answer "true." (d) Find the relative error: approx (4-digit) true relative error true Change the decimal into a percentage for the final answer. 4. The derivative of f(x) = is given by 6.1 (1 3x2)? (a) Why would you expect to have difficulties evaluating the derivative at x = 0.5773? (Hint: Where does the denominator of the derivative equal zero?) (b) Evaluate the derivative at x = 0.5773, using 4-digit arithmetic with chopping. (Re- minder: do EACH calculation and chop to 4 digits before going on to the next calculation.) (C) Now evaluate the derivative using the full precision of your calculator (no chopping). Call this answer "true." (d) Find the relative error: approx (4-digit) true relative error true Change the decimal into a percentage for the final