harry
Lv 6
harry asked in 科學數學 · 8 years ago

微分,y=e^(ln 3x+2)

Set y=e^( ln(3x+2) ), dy/dx=?

答案給3,是否有誤

1 Answer

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  • 8 years ago
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    正確無誤

    y=e^( ln(3x+2) ) = 3x+2 >0

    Hence x>-2/3

    Therefore dy/dx=3 for x>-2/3

    2013-05-21 14:56:42 補充:

    y is not defined if only real numbers are considered in the whole calculation

    2013-05-21 14:59:23 補充:

    for x<=2/3 since ln(3x+2) is undefined for 3x+2 <=0

    2013-05-21 17:44:43 補充:

    typo, for x<=-2/3

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