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SCALC9M 14.4.022.
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Explain why the function is differentiable at the given point.
$f(x, y) = y + \sin(\frac{2x}{y})$, $(0, 9)$
The partial derivatives are $f_x(x, y) = \text{________}$ and $f_y(x, y) = \text{________}$, so $f_x(0, 9) = \text{________}$ and
$f_y(0, 9) = \text{________}$. Both $f_x$ and $f_y$ are continuous functions for $\text{---Select---}$, so $f$ is differentiable at $(0, 9)$.
Find the linearization $L(x, y)$ of the function at $(0, 9)$.
$L(x, y) = \text{________}$
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