已知函数f﹙x﹚=2lnx-x²⑴求函数y=f﹙x﹚在[½,2]上的最大值⑵如果函数g ﹙x﹚=f﹙x﹚-ax的图象与χ轴交于两点A﹙χ₁,0﹚,B﹙χ₂,0﹚,且0<χ₁<χ₂,y=g'﹙x﹚是y=g﹙x
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![已知函数f﹙x﹚=2lnx-x²⑴求函数y=f﹙x﹚在[½,2]上的最大值⑵如果函数g ﹙x﹚=f﹙x﹚-ax的图象与χ轴交于两点A﹙χ₁,0﹚,B﹙χ₂,0﹚,且0<χ₁<χ₂,y=g'﹙x﹚是y=g﹙x](/uploads/image/z/5334293-29-3.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%B9%99x%EF%B9%9A%EF%BC%9D2lnx%EF%BC%8Dx%26%23178%3B%E2%91%B4%E6%B1%82%E5%87%BD%E6%95%B0y%EF%BC%9Df%EF%B9%99x%EF%B9%9A%E5%9C%A8%5B%26%23189%3B%2C2%5D%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E2%91%B5%E5%A6%82%E6%9E%9C%E5%87%BD%E6%95%B0g+%EF%B9%99x%EF%B9%9A%EF%BC%9Df%EF%B9%99x%EF%B9%9A%EF%BC%8Dax%E7%9A%84%E5%9B%BE%E8%B1%A1%E4%B8%8E%CF%87%E8%BD%B4%E4%BA%A4%E4%BA%8E%E4%B8%A4%E7%82%B9A%EF%B9%99%CF%87%26%238321%3B%2C0%EF%B9%9A%2CB%EF%B9%99%CF%87%26%238322%3B%2C0%EF%B9%9A%2C%E4%B8%940%EF%BC%9C%CF%87%26%238321%3B%EF%BC%9C%CF%87%26%238322%3B%2Cy%EF%BC%9Dg%EF%BC%87%EF%B9%99x%EF%B9%9A%E6%98%AFy%3Dg%EF%B9%99x)
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已知函数f﹙x﹚=2lnx-x²⑴求函数y=f﹙x﹚在[½,2]上的最大值⑵如果函数g ﹙x﹚=f﹙x﹚-ax的图象与χ轴交于两点A﹙χ₁,0﹚,B﹙χ₂,0﹚,且0<χ₁<χ₂,y=g'﹙x﹚是y=g﹙x
已知函数f﹙x﹚=2lnx-x²
⑴求函数y=f﹙x﹚在[½,2]上的最大值
⑵如果函数g ﹙x﹚=f﹙x﹚-ax的图象与χ轴交于两点A﹙χ₁,0﹚,B﹙χ₂,0﹚,且0<χ₁<χ₂,y=g'﹙x﹚是y=g﹙x﹚的导函数,若正常数p,q满足p+q=1,q≥p,求证g'﹙px₁+qx₂﹚<0
已知函数f﹙x﹚=2lnx-x²⑴求函数y=f﹙x﹚在[½,2]上的最大值⑵如果函数g ﹙x﹚=f﹙x﹚-ax的图象与χ轴交于两点A﹙χ₁,0﹚,B﹙χ₂,0﹚,且0<χ₁<χ₂,y=g'﹙x﹚是y=g﹙x
第一题:对x求导,令导数等于零的x值1的点,就是最大值点!