5）
y = xe^x +2x + 1
dy/dy = xe^x + 2
切线方程，
(y - y₁) = dy/dx( x - x₁)
当x = 0，y = 1，dy/dx = xe^x + 2
y - 1 = xe^x + 2
y = xe^x +3
6)
f(x) = x(x - 1)(x - 2)...(x-100)
f(x) = - x( - x + 1)( - x + 2)...( - x + 100)
f(x) = - x^100 + (1!)x^99 + (2!)x^98 +...+ (100!)x^0
f'(x) = 100x^99 + 99(1!)x^98 +...99!x^0
当x = 0，
f'(0) = 99!
纯手打，蒙采纳~~
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