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Calculus Derivatives

Brian J.

asked • 02/17/21

Calculus Homework

Consider $LaTeX: f(x,y) = e^{x^2 y}$ . Compute $LaTeX: \frac{\partial f}{\partial y}\left(x,0\right)$ :

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Yefim S. answered • 02/17/21

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f(x,y) = e^(x²y); ∂f/∂y(x,y) = e^(x²y)·x²; ∂f/∂y(x,0) = e^(x²·0)·x² = 1·x² = x².

Answer: x².

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