Another one on partial derivatives?

Find the partial derivative ∂z / ∂x and ∂z / ∂y of the following function:

z = square root of (x^2 + y^2 +1)

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  • 10 years ago
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    z = square root of (x^2 + y^2 +1)

    z= (x^2 + y^2 +1) ^ (1/2)

    ∂z / ∂x = (1/2) (x^2 + y^2 +1) ^ (-1/2) 2x = x(x^2 + y^2 +1) ^ (-1/2)

    ∂z / ∂y = (1/2) (x^2 + y^2 +1) ^ (-1/2) 2y = y(x^2 + y^2 +1) ^ (-1/2)

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