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Explain, in terms of linear approximations or differentials, why the approximation is reasonable.$ \sec 0.08 \approx 1 $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Derivatives

Differentiation

Campbell University

Baylor University

University of Michigan - Ann Arbor

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.

01:55

$29-31$ Explain, in terms …

00:30

Explain, in terms of linea…

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$$ \begin{array}{l}{29-31 …

01:30

okay. We know that AF of axe is seeking acts. An after prom of axe is seeking acts times tangent acts. Therefore, we know that after prime of zero is seeking zero times 10 of zero, which is simply zero. Therefore, we know that seeking of 0.0 a is gonna be one plus zero points. Your rate time zero, which is seeking of zero points you're right, is just gonna be one.

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