37. Find the second partial derivatives for f(x,y)=2x2y + 5y-3x'y8. Find the total differential for z=-3ycosx+4x3y29. Let w-xy* - y, x-In t, y-cos t. Use Chain Rule to find dw/dt when t=0.10. Find dy/dx implicitly for y5- y4 +3y+x3-6=0.11. Find a directional derivative for f(x,y)-2+x2y2 at (-2,3) in the direction6of u cosisinj612. Find the gradient for f(x,y)=x2y-x In y at (4,1).

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Asked Jun 5, 2019
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7. Find the second partial derivatives for f(x,y)=2x2y + 5y-3x'y
8. Find the total differential for z=-3ycosx+4x3y2
9. Let w-xy* - y, x-In t, y-cos t. Use Chain Rule to find dw/dt when t=0.
10. Find dy/dx implicitly for y5- y4 +3y+x3-6=0.
11. Find a directional derivative for f(x,y)-2+
x2
y2 at (-2,3) in the direction
6
of u cosi
sinj
6
12. Find the gradient for f(x,y)=x2y-x In y at (4,1).
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3 7. Find the second partial derivatives for f(x,y)=2x2y + 5y-3x'y 8. Find the total differential for z=-3ycosx+4x3y2 9. Let w-xy* - y, x-In t, y-cos t. Use Chain Rule to find dw/dt when t=0. 10. Find dy/dx implicitly for y5- y4 +3y+x3-6=0. 11. Find a directional derivative for f(x,y)-2+ x2 y2 at (-2,3) in the direction 6 of u cosi sinj 6 12. Find the gradient for f(x,y)=x2y-x In y at (4,1).

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Expert Answer

Step 1

Obtain the magnitude value of u as follows.

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Step 2

Now obtain the unit vector,

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Step 3

Now obtain  ...

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