Derivative Shaders ● (ESSENTIAL)

The most critical use of derivatives is determining which mipmap level to use. By calculating the derivative of UV coordinates, the GPU can see if a texture is being squashed into a small area (high derivative) or stretched out (low derivative). If the UV change is high, the hardware selects a lower-resolution mipmap to prevent flickering and aliasing. 2. Procedural Antialiasing

Sum of the absolute derivatives: abs(dFdx(v)) + abs(dFdy(v)) . Limitations and Precautions derivative shaders

Derivatives are powerful, but they come with strict rules regarding control flow. The most critical use of derivatives is determining

Derivatives offer an elegant solution. By taking the derivative of the height or position of the surface, you can construct a tangent plane and, subsequently, a normal vector. a normal vector.