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Use implicit differentiation in each of the following problems to find dy/dx. Then determine the equation...

Use implicit differentiation in each of the following problems to find dy/dx. Then determine the equation of a tangent line at the given point.

(a) y = xe^y , at (1/e, 1)

(b) sin x cos y = sin x + cos y, at (0, π/2).

Hint: One of the lines is vertical, so its derivative is undefined at the given point. Recall that the equation of a vertical line has the form x = a.

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