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Find all first and second-order partial derivatives of Ý‚?

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User Ytropek
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1 Answer

6 votes

Final answer:

To find the first-order partial derivatives, differentiate the function with respect to each variable separately. To find the second-order partial derivatives, differentiate the first-order partial derivatives with respect to the same variables again.

Step-by-step explanation:

The question is asking to find all first and second-order partial derivatives of Ý‚. To find the first-order partial derivatives, we differentiate the function with respect to each variable separately while treating the other variables as constants. For example, if Ý‚ is a function of x and y, then the first-order partial derivatives with respect to x and y would be denoted as ∂Ý‚/∂x and ∂Ý‚/∂y, respectively.

To find the second-order partial derivatives, we differentiate the first-order partial derivatives with respect to the same variables again. For example, the second-order partial derivative with respect to x would be denoted as ∂²Ý‚/∂x² and with respect to y would be ∂²Ý‚/∂y².

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User Stevenkucera
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