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Unformatted text preview: Applications of the Derivatives and the Differentials 1. The Differentials is applied in solving problems involving approximation. 2. The different applications of the Derivatives are in : a. Writing equation of the tangent and normal line to a curve at a specified point. b. Sketching graphs of functions/relations. c. Solving optimization problems ( Applied Max/Min Problems) d. Solving related rates/ time rates problems. Application of the DIFFERENTIALS 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...
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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
 Approximation, Derivative, Differential Calculus

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