• wholookshere@lemmy.blahaj.zoneEnglish
    1·
    3 hours ago

    Sorry that’s not what I’m saying.

    I’m saying a line with constant tangent would be a circle not a line.

    Let me try another way, a function with constant first derivative in polar coordinates, would draw a circle in Cartesian

    • ltxrtquq@lemmy.mlEnglish
      1·
      3 hours ago

      Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ

      I think this part from the textbook describes what you’re talking about

      Instead, we will use x=f(θ)cosθ, y=f(θ)sinθ to compute dydx.

      And this would give you the actual tangent line, or at least the slope of that line.