Example 26 (i) - Differentiate e^-x with respect to x [Video] - Examples

 

 

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Example 26 Differentiate the following w.r.t. x: (i) š‘’^(ā€“š‘„)Let š‘¦ = š‘’^(ā€“š‘„) Differentiating both sides š‘¤.š‘Ÿ.š‘”.š‘„ š‘‘š‘¦/š‘‘š‘„ = š‘‘(š‘’^(āˆ’š‘„) )/š‘‘š‘„ š‘‘š‘¦/š‘‘š‘„ = š‘’^(āˆ’š‘„) . š‘‘(āˆ’š‘„)/š‘‘š‘„ š‘‘š‘¦/š‘‘š‘„ = š‘’^(āˆ’š‘„) (āˆ’1) . š’…š’š/š’…š’™ = ć€–āˆ’š’†ć€—^(āˆ’š’™)

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