(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the gradient of the function at the given point, then sketch the gradient together with the level curve that passes through the point.

f(x,y) = y - x (2,1)

2. Relevant equations

gradient of f = (df/dx)i + (df/dy)j

3. The attempt at a solution

df/dx = -1

df/dy = 1

gradient of f = (df/dx)i + (df/dy)j = -i + j

I don't really know where to go from here; what exactly is a level curve?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Gradients and Tangents to Level Curves

**Physics Forums | Science Articles, Homework Help, Discussion**