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(b) y = √2-3x

(b) y = √2-3x

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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1. Determine the derivatives of the following functions Illustrative Example: Determine the derivative of y = x² + 2x + 1 Solution: y+Ay = (x + Ax)² + 2(x + Ax) + 1 Ay = (x + Ax)² + 2(x + Ax) + 1-y DUT y = x + 2x + 1 Ay = (x + Ax)² + 2(x + Ax) +1 − (x² + 2x + 1) Ay = x² + 2xAx + Ax² + 2x + 2Ax+1-x² - 2x - 1 Ay = 2xAx + Ax² + 2Ax Ay Ax Ay = 2x + Δx + 2 lim = Ax-0 Ax y' = dy dx APIE lim 2x + Ax + 2 = 2x +0+2 Ax-0 = 2x + 2 (b) y = √2-3x VERSIT ERSIT EDNICAT
Transcribed Image Text:1. Determine the derivatives of the following functions Illustrative Example: Determine the derivative of y = x² + 2x + 1 Solution: y+Ay = (x + Ax)² + 2(x + Ax) + 1 Ay = (x + Ax)² + 2(x + Ax) + 1-y DUT y = x + 2x + 1 Ay = (x + Ax)² + 2(x + Ax) +1 − (x² + 2x + 1) Ay = x² + 2xAx + Ax² + 2x + 2Ax+1-x² - 2x - 1 Ay = 2xAx + Ax² + 2Ax Ay Ax Ay = 2x + Δx + 2 lim = Ax-0 Ax y' = dy dx APIE lim 2x + Ax + 2 = 2x +0+2 Ax-0 = 2x + 2 (b) y = √2-3x VERSIT ERSIT EDNICAT
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