Question: Each function (x) changes value when x changes from x 0 to x 0 + dx. Find a. The change = (x 0 +

Each function ƒ(x) changes value when x changes from x0 to x0 + dx. Find


a. The change Δƒ = ƒ(x0 + dx) - ƒ(x0);


b. The value of the estimate dƒ = ƒ′(x0) dx; and


c. The approximation error |Δƒ - dƒ|.0 (xo. f(xo)) Tangent y = f(x) dx Af = f(xo +


ƒ(x) = x3 - 2x + 3, x0 = 2, dx = 0.1

0 (xo. f(xo)) Tangent y = f(x) dx Af = f(xo + dx) - f(xo) df = f'(x) dx xo + dx X

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