Let r= x i + y j + z k and r= |r|.
30. Verify each identity.
(a) ∇ . r =3
(b) ∇ . (rr) = 4r
(c) ∇2 r3 =12r
Compute the directional derivative in the direction of v at the given point.
S(x. y) = xy - x, v=i-j, P= (-1,2)
Remember to use a unit vector in your directional derivative computation.
(Give an exact answer. Use symbolic notation and fractions where needed.)
Du f(-1,2) =
Chapter 16 Solutions
Bundle: Calculus, 8th + Enhanced WebAssign - Start Smart Guide for Students + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY