设y=sinx+5y = \sin x + 5y=sinx+5,则y′′=cosxy'' = \cos xy′′=cosx.( )
已知曲线y=1x−xy = \dfrac{1}{x}-xy=x1−x,求曲线在点(12,32)(\dfrac{1}{2},\dfrac{3}{2})(21,23)处的法线方程。
证明:方程x4+2x−1=0x^{4}+2x - 1 = 0x4+2x−1=0在(0,1)(0,1)(0,1)内至少有一个实根。
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