Tangent at a Point Using Gradient
For an implicit curve:
$$F(x,y)=0$$
the tangent at $$(x_1,y_1)$$ can be obtained from:
$$F_x(x_1,y_1)(x-x_1)+F_y(x_1,y_1)(y-y_1)=0$$
Usage
- Used to obtain tangents directly from an implicit equation without explicitly solving for $$y$$.