7. Show that $f(x, y) = xe^y$ is differentiable at point $(1, 0)$.
Added by Christopher W.
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Using the power rule for differentiation, the derivative of x^e is e*x^(e-1). Now, let's evaluate the derivative at the point (1,0). Plugging in x = 1 into the derivative, we get e*1^(e-1) = e*1^0 = e*1 = e. Show more…
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