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Use a linear approximation (or differentials) to estimate the given number.$ e^{0.1} $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Derivatives

Differentiation

Jake D.

March 2, 2022

You SUCK!

Missouri State University

Baylor University

University of Nottingham

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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Use a linear approximation…

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Use an appropriate functio…

we know that affects is eating the axe. Therefore, F Prime of X is actually the same thing. He has special properties, therefore de wise either the X tax therefore plugging in. We have off of zero plus. So d A y is either the zero times 0.1, which is one times you're always just 0.1. It's now we can add that back in. This is one post your 10.1 which gives us 1.1.

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