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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
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- 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 1 (25.76 KiB) Viewed 30 times
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?