已知f(x)=x lnx+[e^(x²)/x],求f ' ' ' (x)详细见图http://hiphotos.baidu.com/%D1%A9%C9%BD%BD%A3%BF%CDty/pic/item/bf9cbf1749540923428e0bca9258d109b2de4954.jpg

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已知f(x)=x lnx+[e^(x²)/x],求f ' ' ' (x)详细见图http://hiphotos.baidu.com/%D1%A9%C9%BD%BD%A3%BF%CDty/pic/item/bf9cbf1749540923428e0bca9258d109b2de4954.jpg
已知f(x)=x lnx+[e^(x²)/x],求f ' ' ' (x)
详细见图http://hiphotos.baidu.com/%D1%A9%C9%BD%BD%A3%BF%CDty/pic/item/bf9cbf1749540923428e0bca9258d109b2de4954.jpg

已知f(x)=x lnx+[e^(x²)/x],求f ' ' ' (x)详细见图http://hiphotos.baidu.com/%D1%A9%C9%BD%BD%A3%BF%CDty/pic/item/bf9cbf1749540923428e0bca9258d109b2de4954.jpg
g(x)=㏑x + 1 + (2-1/x²)e^(x²)
G(x)=1/x + (2/x³)e^(x²)+2x(2 - 1/x²)e^(x²)=1/x + (2/x³ + 4x- 2/x)e^(x²)
G'(x)= -1/x²+2x(2/x³ + 4x - 2/x)e^(x²)+(4- 6/x^4 + 2/x²)e^(x²)= -1/x² + (6/x² -6/x^4 +8x² )e^(x²)

g(x)=lnx+1+(-1/x²)e^(x²)+(1/x)e^(x²)*2x
=lnx+(2-1/x²)e^(x²)+1
G(x)=g'(x)=1/x+(2/x³)e^(x²)+(2-1/x²)e^(x²)*2x
=1/x+[(2/x)+4x-...

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g(x)=lnx+1+(-1/x²)e^(x²)+(1/x)e^(x²)*2x
=lnx+(2-1/x²)e^(x²)+1
G(x)=g'(x)=1/x+(2/x³)e^(x²)+(2-1/x²)e^(x²)*2x
=1/x+[(2/x)+4x-2/x]e^(x²)
=1/x+4xe^(x²)
G'(x)=-1/x²+4e^(x²)+4xe^(x²)*2x
=-1/x²+(4+8x²)e^(x²)

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直线x+2y-4=0①,抛物线y 2;=4x②,设A(x1,y1)B(x2,y2),P(n 2;/4,n) ①②:y 2;+8x-16=0 y1+y2=-8⑥,y1y2=-16⑦ P到直线AB