高数求导求详细思路步骤
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dy/dx = [2-e^(x+y)]/[1+e^(x+y)]
d^2y/dx^2
=-( [1+e^(x+y)] +[2-e^(x+y)] ). e^(x+y) (1+dy/dx) /[(1+e^(x+y))]^2
=-3e^(x+y) (1+dy/dx) /[(1+e^(x+y))]^2
=-3e^(x+y) (1+[2-e^(x+y)]/[1+e^(x+y)] ) /[(1+e^(x+y))]^2
=-3e^(x+y) ( [1+e^(x+y)]+[2-e^(x+y)] ) /[(1+e^(x+y))]^3
=-9e^(x+y) /[(1+e^(x+y))]^3
d^2y/dx^2
=-( [1+e^(x+y)] +[2-e^(x+y)] ). e^(x+y) (1+dy/dx) /[(1+e^(x+y))]^2
=-3e^(x+y) (1+dy/dx) /[(1+e^(x+y))]^2
=-3e^(x+y) (1+[2-e^(x+y)]/[1+e^(x+y)] ) /[(1+e^(x+y))]^2
=-3e^(x+y) ( [1+e^(x+y)]+[2-e^(x+y)] ) /[(1+e^(x+y))]^3
=-9e^(x+y) /[(1+e^(x+y))]^3
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