If f is a differentiable function on an interval containing a point xo, then its linearization at xo is the function L(x) = xo + f'(xo}(x – xo). The function L(x) represents the equation of the tangent line to the graph of f at the point (xo, f (xo)). The function L(x} is a good approximation to f(x} when x is close to xo. As we zoom in on the graph of f(x) near the point (x0, f(xo}), it becomes indistinguishable from the graph of L(x). O All statements are correct. O Some, but not all statements are correct. O None of these statements are correct.
If f is a differentiable function on an interval containing a point xo, then its linearization at xo is the function L(x) = xo + f'(xo}(x – xo). The function L(x) represents the equation of the tangent line to the graph of f at the point (xo, f (xo)). The function L(x} is a good approximation to f(x} when x is close to xo. As we zoom in on the graph of f(x) near the point (x0, f(xo}), it becomes indistinguishable from the graph of L(x). O All statements are correct. O Some, but not all statements are correct. O None of these statements are correct.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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