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)
设y=arctanx+2x+x2y = \arctan x+2^x + x^2y=arctanx+2x+x2,求二阶导数y′′y''y′′.
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