Exercise 1.6.3. Fiz a differentiable function f : R2 + R, and fix a point p E R2. For any vector v ERP, then the directi
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
Exercise 1.6.3. Fiz a differentiable function f : R2 + R, and fix a point p E R2. For any vector v ERP, then the directi
Exercise 1.6.3. Fiz a differentiable function f : R2 + R, and fix a point p E R2. For any vector v ERP, then the directional derivative off at p in the direction of v is defined as of := lim:70 f(p+tu)-f(p) Show that the map Vf:VHV (f) is a dual vector in (RⓇ)*, i.e., a row vector. Also, what are its "coordinates" under the standard dual basis?
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!