Question

Which answer includes correct partial derivatives of the function $f(x,y) = x^4y^3 + 8x^2y + y^4 + 5x^2$ $\frac{\partial f}{\partial x} = 12x^3y^2 + 16xy + 5$ $\frac{\partial f}{\partial y} = 12x^3y^2 + 8x^2 + 4y^3$ $\frac{\partial f}{\partial x} = 12(xy)^{12} + 16(xy)^2 + 4y^3 + 5$ $\frac{\partial f}{\partial y} = 12(xy)^8 + 16(xy)^2 + 4y^3 + 5$ $\frac{\partial f}{\partial x} = 4x^3y^3 + 16xy + 5$ $\frac{\partial f}{\partial y} = 3x^4y^2 + 8x^2 + 4y^3$ $\frac{\partial f}{\partial x} = x^3y^2 + 8x + y^3 + 5$ $\frac{\partial f}{\partial y} = x^3y^2 + 8x + y^3 + 5$

          Which answer includes correct partial derivatives of the function $f(x,y) = x^4y^3 + 8x^2y + y^4 + 5x^2$

$\frac{\partial f}{\partial x} = 12x^3y^2 + 16xy + 5$
$\frac{\partial f}{\partial y} = 12x^3y^2 + 8x^2 + 4y^3$

$\frac{\partial f}{\partial x} = 12(xy)^{12} + 16(xy)^2 + 4y^3 + 5$
$\frac{\partial f}{\partial y} = 12(xy)^8 + 16(xy)^2 + 4y^3 + 5$

$\frac{\partial f}{\partial x} = 4x^3y^3 + 16xy + 5$
$\frac{\partial f}{\partial y} = 3x^4y^2 + 8x^2 + 4y^3$

$\frac{\partial f}{\partial x} = x^3y^2 + 8x + y^3 + 5$
$\frac{\partial f}{\partial y} = x^3y^2 + 8x + y^3 + 5$

Which answer includes correct partial derivatives of the function f(x,y) = x^4y^3 + 8x^2y + y^4 + 5x^2

(∂ f)/(∂ x) = 12x^3y^2 + 16xy + 5
(∂ f)/(∂ y) = 12x^3y^2 + 8x^2 + 4y^3

(∂ f)/(∂ x) = 12(xy)^12 + 16(xy)^2 + 4y^3 + 5
(∂ f)/(∂ y) = 12(xy)^8 + 16(xy)^2 + 4y^3 + 5

(∂ f)/(∂ x) = 4x^3y^3 + 16xy + 5
(∂ f)/(∂ y) = 3x^4y^2 + 8x^2 + 4y^3

(∂ f)/(∂ x) = x^3y^2 + 8x + y^3 + 5
(∂ f)/(∂ y) = x^3y^2 + 8x + y^3 + 5

Added by Sara B.

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