Edge/outline detection from texture in fragment shader

I am trying to display sharp contours from a texture in WebGL. I pass a texture to my fragment shaders then I use local derivatives to display the contours/outline, however, it is not smooth as I would expect it to.

Just printing the texture without processing works as expected:

vec2 texc = vec2(((vProjectedCoords.x / vProjectedCoords.w) + 1.0 ) / 2.0,
            ((vProjectedCoords.y / vProjectedCoords.w) + 1.0 ) / 2.0 );
vec4 color = texture2D(uTextureFilled, texc);
gl_FragColor = color;

With local derivatives, it misses some edges:

vec2 texc = vec2(((vProjectedCoords.x / vProjectedCoords.w) + 1.0 ) / 2.0,
            ((vProjectedCoords.y / vProjectedCoords.w) + 1.0 ) / 2.0 );
vec4 color = texture2D(uTextureFilled, texc);
float maxColor = length(color.rgb);
gl_FragColor.r = abs(dFdx(maxColor));
gl_FragColor.g = abs(dFdy(maxColor));
gl_FragColor.a = 1.;