Question: With this background, here's your assignment: Assume the function f is defined as f(x) = 8x4+ 6x3- 4 Use the power rule to find the

With this background, here's your assignment:

  • Assume the function f is defined as f(x) = 8x4+ 6x3- 4
  • Use the power rule to find the derivative f'(x) and evaluate that derivative at x = 3.5.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 = 3.5 for three different values of the mesh sizes
  • h = 0.1
  • h = 0.01
  • h = 0.001

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