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Interaction tests

Gradient of \(f(x,y)=\frac{1}{2}x^2+y^2\)

Point P
(2.00, 1.00)
f(P)
3.00
Gradient
(2.00, 2.00)
|Gradient|
2.83
Directional derivative
2.77

Two lines and their intersection

A circle with a radius and tangent

The unit circle and \(y=\sin x\)

Projectile motion

3D gradient of \(f(x,y)=\frac{1}{2}x^2+y^2\)

Gradient of \(f(x,y)=xy\)

Point P
(2.00, 1.00)
f(P)
2.00
Gradient
(1.00, 2.00)
|Gradient|
2.24
Directional derivative
1.72

Rotational vector field \(F(x,y,z)=(-y,x,0)\)

Radial vector field \(F(x,y,z)=(x,y,z)\)