# Math Help - Tangent Plane

1. ## Tangent Plane

Consider as a parametrized surface in the natural way. Write the equation of the tangent plane to the surface at the point given that and .

I'm unsure how to use the paritial derivatives in regards to the equation. Please help!

2. Originally Posted by saxyliz
Consider as a parametrized surface in the natural way. Write the equation of the tangent plane to the surface at the point given that and .

I'm unsure how to use the paritial derivatives in regards to the equation. Please help!

using the above info

$x-(-1)=4(y-1)-4(z-(-3)) \implies x+1= 4y-4-4z-12 \implies x-4y+4z=-17$

3. Originally Posted by TheEmptySet
using the above info

$x-(-1)=4(y-1)-4(z-(-3)) \implies x+1= 4y-4-4z-12 \implies x-4y+4z=-17$
Wow thanks so much! I don't know where my brain was...