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allyfranken
 4 years ago
find the first partial derivative:
f(x, y) = y^5 3xy
could you please explain how to do these as well?
allyfranken
 4 years ago
find the first partial derivative: f(x, y) = y^5 3xy could you please explain how to do these as well?

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0with respect to x or y ?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1partials are just like usual except the none interested in variable is considered a constant

dave444
 4 years ago
Best ResponseYou've already chosen the best response.2Well, there's two partial derivatives, one with respect to x and one with respect to y. To find the partial derivative with respect to x you differentiate with respect to x while holding y constant, giving: \[\frac{\partial f}{\partial x} = 3y\] Similarly, \[\frac{\partial f}{\partial y} = 5y^43x\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1x y^2 with respect to x is: y^2 x y^2 with respect to y is: 2x y
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