Each function (x) changes value when x changes from x 0 to x 0 + dx. Find
Question:
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|.
ƒ(x) = x-1, x0 = 0.5, dx = 0.1
Transcribed Image Text:
0 (xo. f(xo)) Tangent Хо y = f(x) dx ↑ Af = f(xo + dx) - f(xo) df = f'(x) dx xo + dx X
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ANSWER a The change in x is given by x0 dx x0 x0 dx 1 x0 1 x0 dx 1 x0 1 dx Substituting the given v...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
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