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Let f(x, y) = xe and x(u, v) = u, y(u, v) = uv. Calculate f(x(u, v), y(u, v)) and the partial derivative af

 

Let f(x, y) = xe" and x(u, v) = u, y(u, v) = uv. Calculate f(x(u, v), y(u, v)) and the partial derivative af -(3, 2) du directly using the formula for f(x(u, v), y(u, v)), and by using the chain rule. Explain the geometric meaning of the two numbers you calculated! Rates of change of what function?

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