Determine as derivadas parciais de primeira ordem para a fun...

Determine as derivadas parciais de primeira ordem para a função implícita x^2y + z^2y + xz = 4yz

A) Z_x = \frac{2xy + z}{2zy + x + 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 - 4z}{2zy + x + 4y}

B) Z_x = \frac{2xy + z}{2zy + x + 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 + 4z}{2zy + x + 4y}

C) Z_x = \frac{2xy + z}{2zy + x - 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 + 4z}{2zy + x + 4y}

D) Z_x = \frac{2xy + z}{2zy + x + 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 + 4z}{2zy + x - 4y}

$Determine as derivadas parciais de primeira ordem para a função implícita x^2y + z^2y + xz = 4yz A) Z_x = \frac{2xy + z}{2zy + x + 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 - 4z}{2zy + x + 4y} B) Z_x = \frac{2xy + z}{2zy + x + 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 + 4z}{2zy + x + 4y} C) Z_x = \frac{2xy + z}{2zy + x - 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 + 4z}{2zy + x + 4y} D) Z_x = \frac{2xy + z}{2zy + x + 4y} \quad e \quad Z_y = -\frac{x^2 + z^2 + 4z}{2zy + x - 4y}$

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