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

0.08 is close to $0,$ approximating $\sec 0.08$ with 1 is reasonable.

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Derivatives

Differentiation

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Use a linear approximation…

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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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