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

Find the slope of the tangent line to the curve of intersection of the vertical plane x - y + 1 =0 and the surface z = x^{2}+y^{2}at the point (1, 2, 5)

2. Relevant equations

Gradients, Cross products

3. The attempt at a solution

I'm pretty lost here. I think I have to cross the two gradients of the functions that I have to find the intersection at (1, 2, 5). However, what then?

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

Join Physics Forums Today!

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

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

# Homework Help: Slope of the tangent line of an intersection - Directional Derivatives

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