Question

CAL 3 Problem:
f(x,y) = sin(xy^2)
P=(휋/4,2) southeast
Find the directional derivative of f at P in the given direction?

Answer 1

\[P = (\pi/4,2)\]

Answer 2

\[f(x,y)=\sin(xy ^{2})\]

Answer 3

apply gradient ... and just put those values.

Answer 4

\[gradient?...(\frac{ \partial f }{ \partial x }, \frac{ \partial f }{ \partial y })\]

Answer 5

yes

Answer 6

\[ \vec \nabla f = \hat i \frac{\partial f}{\partial x} + \hat j \frac{\partial f}{\partial y}\]

Answer 7

P\[P = (i,j) ?\]

Answer 8

hold on ...

Answer 9

I was referring to the P in the question

Answer 10

how'd you get that?

Answer 11

no ... i didn't read your question properly, later i realized it was directional derivative and the direction was specified.

Answer 12

ohh SE