Find-the-directional-derivatives-of-the-function-f-x-y-z-2x-2-3y-2-z-2-at-the-point-p-2-1-3-

Question Number 187255 by Spillover last updated on 15/Feb/23

F i n d t h e d i r e c t i o n a l d e r i v a t i v e s o f t h e

f u n c t i o n

f (x, y, z) = 2 x^{2} + 3 y^{2} + z^{2} a t t h e p o i n t p (2, 1, 3)

Answered by MikeH last updated on 15/Feb/23

D_{p} (x, y, z) = (p_{x}, p_{y}, p_{z}) ∙ (f_{x}, f_{y}, f_{z})

\Rightarrow D_{p} (x, y, z) = 2 (4 x) + 1 (6 y) + 3 (2 z)

\Rightarrow D_{p} (x, y, z) = 8 x + 6 y + 6 z

Facebook Tweet Pin