曲线y=x4−2x3+1y = x^4 - 2x^3 + 1y=x4−2x3+1的凸区间为( ).
(A)(−∞,0](-\infty,0](−∞,0]
(B)[0,1][0,1][0,1]
(C)[1,+∞)[1,+\infty)[1,+∞)
(D)(−∞,1](-\infty,1](−∞,1]
已知函数f(x)f(x)f(x)在点x=2x = 2x=2处可导,且满足limΔx→0f(2+3Δx)−f(2)Δx=9\lim\limits_{\Delta x \to 0} \dfrac{f(2 + 3\Delta x) - f(2)}{\Delta x} = 9Δx→0limΔxf(2+3Δx)−f(2)=9,则f′(2)=f'(2) =f′(2)=( ).
(A)9
(B)3
(C)13\dfrac{1}{3}31
(D)1
函数f(x)=ln(2−x)f(x)=\ln(2 - x)f(x)=ln(2−x)的定义域是( ).
(A)(−∞,2)(-\infty,2)(−∞,2)
(B)(−2,+∞)(-2,+\infty)(−2,+∞)
(C)(−2,2)(-2,2)(−2,2)
(D)(0,2)(0,2)(0,2)
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