5. Find all relative maxima and minima. Answer each part below. g(x)s 3x4-4x3 (a) Find the first and second derivatives: f' (x) = f"(x) b) Find all the critical values of f(x). It is important to show your work carefully. No credit for guesswork List all the critical values (c) List the intervals determined by the critical values, and fill in the table below. Use as many rows as necessary. Be sure to show the calculations required. Interva Value of f'( (d) Complete the table below for relative extrema analysis(The above table is helpful.) Use as many rows as necessary Be sure to show the calculations required, and state the conclusions clearly. Sign of Sign of Stationary ritical f'(x) on f(x) on value? (Yes Value alues the left the right or No) of f"(x)Derivative Test Conclusion, First Conclusion, Second Derivative Test