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Explain, in terms of linear approximations or differentials, why the approximation is reasonable.$ \frac {1}{9.98} \approx 0.1002 $
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Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 10
Linear Approximation and Differentials
Derivatives
Differentiation
Oregon State University
University of Nottingham
Idaho State University
Boston College
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
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we know that f of X is one over acts. Therefore, we know that after prime of 10 plugging into the derivative may have turned to the night of two, which is negative 0.1 Therefore, 9.98 would be 0.1 plus negative 0.1 times Negative. 0.2 is 0.1002
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