Sheldon initially standing at the origin walks along a pier pulling a boat by a rope of length L. He keeps the rope straight and taut. The boat follows a curve y = f(x) called a tractrix which has the property that the rope is always tangent to the curve. Find f(x). Hint: First find f'(x), then integrate.

Question

Sheldon initially standing at the origin walks along a pier pulling a boat by a rope of length L. He keeps the rope straight and taut. The boat follows a curve y = f(x) called a tractrix which has the property that the rope is always tangent to the curve. Find f(x). Hint: First find f'(x), then integrate.

anonymous · Answer

I just need f'(x), i can do the integration

anonymous · Answer

Here is the picture