一道曲线方程的题,麻烦帮解答下,The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.Find an equation of the tangent line to this curve at the point (1,−2).tschirnhausen cubic我不知道是什麽意思,就是要
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![一道曲线方程的题,麻烦帮解答下,The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.Find an equation of the tangent line to this curve at the point (1,−2).tschirnhausen cubic我不知道是什麽意思,就是要](/uploads/image/z/8549273-65-3.jpg?t=%E4%B8%80%E9%81%93%E6%9B%B2%E7%BA%BF%E6%96%B9%E7%A8%8B%E7%9A%84%E9%A2%98%2C%E9%BA%BB%E7%83%A6%E5%B8%AE%E8%A7%A3%E7%AD%94%E4%B8%8B%2CThe+curve+with+equation+y2+%3D+x3+%2B3x2+is+called+the+Tschirnhausen+cubic.Find+an+equation+of+the+tangent+line+to+this+curve+at+the+point+%281%2C%26%238722%3B2%29.tschirnhausen+cubic%E6%88%91%E4%B8%8D%E7%9F%A5%E9%81%93%E6%98%AF%E4%BB%80%E9%BA%BD%E6%84%8F%E6%80%9D%2C%E5%B0%B1%E6%98%AF%E8%A6%81)
一道曲线方程的题,麻烦帮解答下,The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.Find an equation of the tangent line to this curve at the point (1,−2).tschirnhausen cubic我不知道是什麽意思,就是要
一道曲线方程的题,麻烦帮解答下,
The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.
Find an equation of the tangent line to this curve at the point (1,−2).
tschirnhausen cubic我不知道是什麽意思,就是要找这个曲线方程的正切相交得点.
不会怎麼解这种题,明天要用到,
一道曲线方程的题,麻烦帮解答下,The curve with equation y2 = x3 +3x2 is called the Tschirnhausen cubic.Find an equation of the tangent line to this curve at the point (1,−2).tschirnhausen cubic我不知道是什麽意思,就是要
这是指一种立方曲线,不用去管这个德国人名(钦豪申)怎么翻译.
题意是求曲线在点(1,-2)处的切线方程:
两边对x求导
2y*y'=3x^2+6x
y'=(3x^2+6x)/(2y)
代入x=1,y=-2
y'=(3+6)/(2*(-2))=-9/4
所以切线为y=(-9/4)(x-1)-2
即y=(-9/4)x+1/4