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Calculus1 11 Online
OpenStudy (anonymous):

help

OpenStudy (uh60blackhawk):

with?

sam (.sam.):

Question?

OpenStudy (anonymous):

OpenStudy (anonymous):

Hey didn't I just do this?

OpenStudy (anonymous):

No different one.

OpenStudy (dumbcow):

when doing partials, treat extra variables like constants

OpenStudy (anonymous):

Fx is the partial derivative of the function with respect to x and Fy is the partial derivative of the function with respect to y. Once you take these partial derivatives, plug in the coordinates and you will have the solutions

sam (.sam.):

\[\frac{\partial \text{}}{\partial x}\left(x^4+5 x^2 y\right)=4 x^3+10 x y\] Then use (1,2) and find the values, Try that and the other partial derivative

sam (.sam.):

Use dumbcow's idea as well :)

OpenStudy (anonymous):

whats dumbcows?

OpenStudy (anonymous):

treating the extra variables as constants..

OpenStudy (anonymous):

Fx(1,2) = 4(1^3)+10*(1)*(2)..

sam (.sam.):

5 and y, in 5x^2y will be constants, so when you derive, you will get 10xy

OpenStudy (anonymous):

\[\alpha/\alpha y = 4x+10y?\]

OpenStudy (anonymous):

no no no.. when you're differentiating with respect to y, treat x as a constant. The 4x^3 would then go to zero, and the 10x^2 will just remain the same as the 'y' variable drops off. Fy = 5x^2

sam (.sam.):

In \[\frac{\partial \text{}}{\partial y}\left(x^4+5 x^2 y\right)\] Treating \(x^4\) as constant, and \(5x^2\), You get \(5x^2\)

OpenStudy (anonymous):

Ohhh. so constant is always zero.

OpenStudy (anonymous):

@.Sam.

sam (.sam.):

Yes

sam (.sam.):

Because we are talking the partial derivative of y, x^4 will be a constant, just like a number 5,10,12. So derivative will give zero

OpenStudy (anonymous):

Ok thank you

sam (.sam.):

Welcome :)

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