Tangents & Normals
Tangent Lines
find the tangent to the graph of a function at a point
tangent line to x^2 at x=1
tangent to x e^-x^2 at x=1/3
find the tangent to a curve specified by an equation
tangent to x^2-y^2=5 at (x,y)=(3,2)
Tangent Planes
find the tangent plane to a surface
tangent plane to z=2xy^2-x^2y at (x,y)=(3,2)
Tangent Hyperplanes
find a tangent hyperplane
tangent to (x+y)^2 e^(y-3z) sin(x+z) at (x,y,z)=(2,1,-1)
Normal Lines
find the normal line to the graph of a function at a point
normal line to y=sin(2x)+2cos(x) at x=pi/4
find the normal to a curve specified by an equation