'Linear approximations' presentation slideshows

PARTIAL DERIVATIVES

14. PARTIAL DERIVATIVES. PARTIAL DERIVATIVES. One of the most important ideas in single-variable calculus is: As we zoom in toward a point on the graph of a differentiable function, the graph becomes indistinguishable from its tangent line.

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DERIVATIVES

3. DERIVATIVES. DERIVATIVES. We have seen that a curve lies very close to its tangent line near the point of tangency. DERIVATIVES. In fact, by zooming in toward a point on the graph of a differentiable function, we noticed that the graph looks more and more like its tangent line.

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DIFFERENTIATION RULES

3. DIFFERENTIATION RULES. DIFFERENTIATION RULES. We have seen that a curve lies very close to its tangent line near the point of tangency. DIFFERENTIATION RULES.

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DERIVATIVES

3. DERIVATIVES. DERIVATIVES. We have seen that a curve lies very close to its tangent line near the point of tangency. DERIVATIVES. In fact, by zooming in toward a point on the graph of a differentiable function, we noticed that the graph looks more and more like its tangent line.

564 views • 55 slides

DERIVATIVES

3. DERIVATIVES. DERIVATIVES. We have seen that a curve lies very close to its tangent line near the point of tangency. DERIVATIVES. In fact, by zooming in toward a point on the graph of a differentiable function, we noticed that the graph looks more and more like its tangent line.

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DERIVATIVES

3. DERIVATIVES. DERIVATIVES. 3.9 Linear Approximations and Differentials. In this section, we will learn about: Linear approximations and differentials and their applications. LINEAR APPROXIMATIONS. The idea is that we use the tangent line at

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DERIVATIVES

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f ( x,y ) = x 2 y + y 3 + 2 y

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Differentials

Differentials. and. Linear. Approximation. 2. Note:. differentials. Linear Approximations. or. Linear Approximations. or. Linear Approximations. or. Linear Approximations. or. linear approximation. is the linearization. 5. Example:. linear approximation. is the linearization.

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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.

108 views • 10 slides

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.

147 views • 10 slides