- Question 2b from hour exam?
- Section 14.6
- Weird? More complicated than necessary?
- Tangent plane goes through P0 normal to gradient
- Normal line is parallel to gradient
- Equations
- Mostly these are all variations on the theme of a plane whose normal vector is the
gradient to a surface
- Many of the equations and their significances are similar to single-variable case
- Mostly these are all variations on the theme of a plane whose normal vector is the
gradient to a surface
- Formula for error in linearization
- Examples
- Tangent plane to egg carton function (z = sinx cosy) at (0,0)?
- Then estimate value of egg carton at (0.01,-0.02)
- And bound the error in this estimate
- Tangent plane to egg carton function (z = sinx cosy) at (0,0)?
- Extreme values
- Read section 14.7