Desmos has released its new Notebook feature.
This is another game changer in modern mathematics.
You can see some examples of the Notebook feature in action right here:
desmos.com/gallery/1b48bb5c-…#graphing#desmos
Differentiating vector-valued functions in ℝ³ from first principles.
The derivative of
C(t) = ⟨x(t), y(t), z(t)⟩
is obtained componentwise:
C′(t) = ⟨x′(t), y′(t), z′(t)⟩
giving the instantaneous velocity vector and tangent direction to the curve.