1.4 Assignment Engineering Applied Exercise #1

• Assume the function f is defined as f(x) = 5x⁴ - 9x³ + 2
• Use the power rule to find the derivative f'(x) and evaluate that derivative at x = 1.7. Note: To avoid round-off error, retain at least six decimal places in your calculations.
• Use the "forward difference" and "centered difference" formulas to estimate f'(x) at x = 1.7 for three different values of the mesh sizes
  • h = 0.1
  • h = 0.01
  • h = 0.001