Explain and elaborate the hypothetical situations n f(xo+h)-f(xo) h 72 (xo) f(xo) 6 10) f'(xo): =

Explain and elaborate the hypothetical situations

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n f(xo+h)-f(xo) h 72 ƒ" (xo) f(xo) 6 10) f'(xo): = h².. 2 If N₁ (h) = f(xo+h)-f(x) and if, for some function f, at xo = 1, we have h h 72 - N₁ (0.1) 1.30, and N₁ (0.05)~ 1.25, then, using Richardson's extrapolation, an 0 (h²) approximation of f'(1) is given by (A) f'(1) ≈ 1.20 (B) f'(1) ≈ 1.25 (C) f'(1) ≈ 1.30 (D) f'(1) ≈ 1.35 n f(xo+h)-f(xo) h 72 ƒ" (xo) f(xo) 6 10) f'(xo): = h².. 2 If N₁ (h) = f(xo+h)-f(x) and if, for some function f, at xo = 1, we have h h 72 - N₁ (0.1) 1.30, and N₁ (0.05)~ 1.25, then, using Richardson's extrapolation, an 0 (h²) approximation of f'(1) is given by (A) f'(1) ≈ 1.20 (B) f'(1) ≈ 1.25 (C) f'(1) ≈ 1.30 (D) f'(1) ≈ 1.35

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