Weijifen_109.docx - \u2022 100 \u2022 Chapter 2 Differential Calculus 2.4.3 Logarithmic Differentiation In some equalionH involving exponenln and\/or

Weijifen_109.docx - u2022 100 u2022 Chapter 2...

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100 • Chapter 2 Differential Calculus 2.4.3 Logarithmic Differentiation In some equalionH involving exponenln and/or products/quotients, it is advantageous lo lake iogarilhrnH of both sides of an equation before differentiating ( often using implicit diffcrenliution). dy Example 32 The function >=>(%) M defined implicitly by x' » y', find . Solution Take the logarithmic function on both sides to grt yin * = tin / Using implicit differentiation we obtain yin x + ^- a In y +— Iny-^ r Example 33 Suppote y = J ;; : ; f nd Solution Take the natural logarilhin of both sides

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