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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.
 Summer '11
 Ma'amRosarioExconde
 Equations, Derivative, Differential Calculus, Parametric Equations

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