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Calculate all four second order partial derivatives?

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Final answer:

The question is about calculating all four second-order partial derivatives in mathematics.

Step-by-step explanation:

The question is asking for the calculation of all four second-order partial derivatives. In mathematics, a partial derivative measures how a function changes when one or more of its variables change. For a second-order partial derivative, we differentiate the function twice.

Let's say we have a function f(x, y) = 3x^2 + 2y^3. To find the second-order partial derivatives, we need to differentiate twice with respect to each variable.

∂^2f/∂x^2 = 6

∂^2f/∂y^2 = 12y

∂^2f/∂x∂y = 0

∂^2f/∂y∂x = 0

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