Using the initial guess of x0 = -2, calculate the minimum value for this function. f(x)=3+6x+5x...

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Using the initial guess of x0 = -2, calculate the minimum value for this function. f(x)=3+6x+5x + 3x3 + 4x4 (a) Determine x0 = (b) Differentiate f(x) to get f'(x) = = (c) Differentiate f'(x) to get f"(x) = (d) Continue calculation to complete the following table -2 (e) Determine Xopt f(xopt) f'(x) f"(x) a (%) Using the initial guess of x0 = -2, calculate the minimum value for this function. f(x)=3+6x+5x + 3x3 + 4x4 (a) Determine x0 = (b) Differentiate f(x) to get f'(x) = = (c) Differentiate f'(x) to get f"(x) = (d) Continue calculation to complete the following table -2 (e) Determine Xopt f(xopt) f'(x) f"(x) a (%)