'Approximate change' presentation slideshows

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4.4 Linearization and Differentials

4.4 Linearization and Differentials. Linearization. Linearization uses the concept that when you zoom in to the graph at a point the y-values of the curve are very close to the y-values of the tangent line. (3, f(3). 3. Linearization. We can approximate

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APPROXIMATE GEODETIC DISTANCES

APPROXIMATE GEODETIC DISTANCES. Objectives. After this lecture you will be able to: Calculate approximate azimuth and lengths of lines from Df and Dl . Calculate approximate Df and Dl from azimuth and lengths of lines. Lecture Outline. Introduction Approximate change in latitude

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We call the equation of the tangent the linearization of the function.

We call the equation of the tangent the linearization of the function. For any function f ( x ), the tangent is a close approximation of the function for some small distance from the tangent point. is the standard linear approximation of f at a. Start with the point/slope equation:.

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DO NOW

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Chapter 2 Limits and the Derivative

Chapter 2 Limits and the Derivative. Section 6 Differentials. Increments. The derivative of f at x is the limit of the difference quotient:. Increment notation allows interpreting the numerator and the denominator of the difference quotient separately. Example Concept of Increment.

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Linear Approximations

Linear Approximations. Objectives. Students will be able to Calculate the differential of a function Use differentials to approximate values for expressions Use differentials to approximate change in revenue (population, area, volume, and tolerances). Vocabulary. Linear Approximation.

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Linear Approximations

Linear Approximations. Objectives. Students will be able to Calculate the differential of a function Use differentials to approximate values for expressions Use differentials to approximate change in revenue (population, area, volume, and tolerances). Vocabulary. Linear Approximation.

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5-5 Day 2 Linearization and differentials

5-5 Day 2 Linearization and differentials. ?. Estimating Change with Differentials. ?. ?. We can approximate the change in a function using the change in the linearization. a. a + dx. ? f. ? L. @ a these are =.

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