Under what conditions on x andor y is the tangent line to, Physics

Under what conditions on x andor y is the tangent line to

1. (a) Find dy/dx given that x² + y² - 4x + 7y = 15.

(b) Under what conditions on x and/or y is the tangent line to this curve horizontal? Vertical?

2. (a) Find the slope of the tangent line to the ellipse

(b) Are there any points where the slope is not defined?

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Physics: Under what conditions on x andor y is the tangent line to

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Physics: Under what conditions on x andor y is the tangent line to

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