高数求切线和法线find the equations of tangent line and normal line o

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/27 23:30:11

高数求切线和法线
find the equations of tangent line and normal line of the curve X的立方+Y的立方—3XY=0 at the point (2开根号下3次方,4开根号下三次方）

x^2+y^3-3*x*y=0
(x^2+y^3-3*x*y)'=0'
2*x+2*y^2*y'-(3*y'*x+3*y)=0
y'=(2*x-3*y)/(3*x-2*y^2)
隐函数求导
注：(y^3)'=y'*y*y+y*y'*y+y*y*y'
y是一个函数,比如f(x).
而x是自变量
(x^3)'=3*x^2
代入x,y即可
法线,据互相垂直的直线斜率k1*k2=-1

高数求切线和法线find the equations of tangent line and normal line o Find the equations of the tangent line and the normal line t Find an equation of the tangent line to the graph of the fun Find the equation of line tangent to the graph of f(x)=e+ln Find an equation of the line tangent to the graph of 4/x^4 a Find an equation of the tangent line to the curve at the giv find the slop of tangent line to the curve r=2+4sin 求翻译:Find the equation of the tangent and the normal respecti tangent line For what values of a and b is the line 4x+y=b t Find the equation of the tangent line at x=2 for f(x)=√(（4x+ find an equation for a line that is normal to the graph of y Find the unit vectors that are parallel to the tangent line