Let \( S \) be a square with sides of length \( x \). If we approximate the change in size of th... VIDEO
Let \( S \) be a square with sides of length \( x \). If we approximate the change in size of the area of \( S \) by \( \left.h \cdot \frac{d A}{d x}\right|_{x=x_{0}} \), when the sides are changed from \( x_{0} \) to \( x_{0}+h \), then the absolute value of the error in our approximation, is
(a) \( h^{2} \)
(b) \( 2 h x_{0} \)
(c) \( x_{0}^{2} \)
(d) \( h \)
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