Lesson 10 Differentials - THE DIFFERENTIALS Objectives At...

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Unformatted text preview: THE DIFFERENTIALS Objectives At the end of the discussion, the students , at the minimum, should be able to : - Differentiate derivatives and differentials- Determine the differentials of functions- Find the derivative of parametric equations The derivative of a function can often be used to approximate certain function values with a surprising degree of accuracy. To do this, the concept of the differential of the independent variable and the dependent variable must be introduced. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 x f x x f x x ' f ly equivalent or x x f x x f x f' is That . x f x, through line secant the of slope the as same the ely approximat is tangent the of slope the then , x very small is x If . x f x, point some at curve the to line tangent the of slope the represents ich wh x x f x x f lim x f' is recall you as x f y function a of derivative the of definition The x- + ≈ ⋅ - + ≈ ≠- + = = → ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ( 29 ( 29 ( 29...
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This note was uploaded on 10/19/2011 for the course MATH 21 taught by Professor Ma'amrosarioexconde during the Summer '11 term at Mapúa Institute of Technology.

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Lesson 10 Differentials - THE DIFFERENTIALS Objectives At...

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