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If 𝑧=2𝑥-𝑦𝑥+𝑦, find ∂𝑧∂𝑦

Question

If 𝑧=2𝑥-𝑦𝑥+𝑦, find ∂𝑧∂𝑦

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Solution

To find the partial derivative of z with respect to y, we treat x as a constant.

The given function is z = 2x - yx + y.

Now, let's differentiate z with respect to y:

∂z/∂y = 0 - x + 1

So, ∂z/∂y = 1 - x.

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