In this problem, please round to the nearest hundredth where necessary. f(x, y) = 0.6x² + 0.4y³ + 0.4xy a) Compute the first derivative of f at the point P(1, – 1) in the direction of u = (3, 5) %3D 1.78 b) Compute the second derivative of f at the point P(1, – 1) in the direction of u (3, 5) | 10.4 In the display below you can see the graph of f along with the curve on the surface of the graph in the direction of u measured slope and concavity is indicated with a red arrowhead. (3, 5). The point on the graph, (1, – 1, – 0.2), where you have
In this problem, please round to the nearest hundredth where necessary. f(x, y) = 0.6x² + 0.4y³ + 0.4xy a) Compute the first derivative of f at the point P(1, – 1) in the direction of u = (3, 5) %3D 1.78 b) Compute the second derivative of f at the point P(1, – 1) in the direction of u (3, 5) | 10.4 In the display below you can see the graph of f along with the curve on the surface of the graph in the direction of u measured slope and concavity is indicated with a red arrowhead. (3, 5). The point on the graph, (1, – 1, – 0.2), where you have
This is a calculus 3 problem. Please explain each step clearly, no cursive writing.
Transcribed Image Text:In this problem, please round to the nearest hundredth where necessary.
f(x, y)
0.6x? + 0.4y + 0.4xy
a) Compute the first derivative of f at the point P(1, – 1) in the direction of ū
(3, 5)
1.78
b) Compute the second derivative of f at the point P(1, – 1) in the direction of u = (3, 5)
10.4
In the display below you can see the graph of f along with the curve on the surface of the graph
in the direction of u
measured slope and concavity is indicated with a red arrowhead.
(3, 5). The point on the graph, (1, – 1, – 0.2), where you have
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