二阶求导数Find d^2y/dx^2 if y^2+2y=4x^2+2x2y*dy/dx+2*dy/dx=8x+2dy/dx=(4x+1)/(y+1)d^2y/dx^2=(4(y+1)-4(x+1)(dy/dx))/(y+1)^2我不明白最后的一步.为什么那里要乘上dy/dx?按照除法则不是应该乘上y+1的导数吗?但是下一步
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![二阶求导数Find d^2y/dx^2 if y^2+2y=4x^2+2x2y*dy/dx+2*dy/dx=8x+2dy/dx=(4x+1)/(y+1)d^2y/dx^2=(4(y+1)-4(x+1)(dy/dx))/(y+1)^2我不明白最后的一步.为什么那里要乘上dy/dx?按照除法则不是应该乘上y+1的导数吗?但是下一步](/uploads/image/z/9356516-44-6.jpg?t=%E4%BA%8C%E9%98%B6%E6%B1%82%E5%AF%BC%E6%95%B0Find+d%5E2y%2Fdx%5E2+if+y%5E2%2B2y%3D4x%5E2%2B2x2y%2Ady%2Fdx%2B2%2Ady%2Fdx%3D8x%2B2dy%2Fdx%3D%284x%2B1%29%2F%28y%2B1%29d%5E2y%2Fdx%5E2%3D%284%28y%2B1%29-4%28x%2B1%29%28dy%2Fdx%29%29%2F%28y%2B1%29%5E2%E6%88%91%E4%B8%8D%E6%98%8E%E7%99%BD%E6%9C%80%E5%90%8E%E7%9A%84%E4%B8%80%E6%AD%A5.%E4%B8%BA%E4%BB%80%E4%B9%88%E9%82%A3%E9%87%8C%E8%A6%81%E4%B9%98%E4%B8%8Ady%2Fdx%3F%E6%8C%89%E7%85%A7%E9%99%A4%E6%B3%95%E5%88%99%E4%B8%8D%E6%98%AF%E5%BA%94%E8%AF%A5%E4%B9%98%E4%B8%8Ay%2B1%E7%9A%84%E5%AF%BC%E6%95%B0%E5%90%97%3F%E4%BD%86%E6%98%AF%E4%B8%8B%E4%B8%80%E6%AD%A5)
二阶求导数Find d^2y/dx^2 if y^2+2y=4x^2+2x2y*dy/dx+2*dy/dx=8x+2dy/dx=(4x+1)/(y+1)d^2y/dx^2=(4(y+1)-4(x+1)(dy/dx))/(y+1)^2我不明白最后的一步.为什么那里要乘上dy/dx?按照除法则不是应该乘上y+1的导数吗?但是下一步
二阶求导数
Find d^2y/dx^2 if y^2+2y=4x^2+2x
2y*dy/dx+2*dy/dx=8x+2
dy/dx=(4x+1)/(y+1)
d^2y/dx^2=(4(y+1)-4(x+1)(dy/dx))/(y+1)^2
我不明白最后的一步.为什么那里要乘上dy/dx?按照除法则不是应该乘上y+1的导数吗?
但是下一步它把(4x+1)/(y+1)代成了dy/dx.它不应该乘以y+1的导数1吗?
二阶求导数Find d^2y/dx^2 if y^2+2y=4x^2+2x2y*dy/dx+2*dy/dx=8x+2dy/dx=(4x+1)/(y+1)d^2y/dx^2=(4(y+1)-4(x+1)(dy/dx))/(y+1)^2我不明白最后的一步.为什么那里要乘上dy/dx?按照除法则不是应该乘上y+1的导数吗?但是下一步
y+1的导数就是dy/dx
.
大哥,y+1对y求导是1,对x求导是dy/dx.y+1的导数y'不是1啊,你的问题就在这里,想清楚就知道了.
老兄 y的导数就是dy/dx,其中是dy的微分.dy=y'dx,自然有dy/dx=y'