Find the Value Of $\frac{d y}{d x}$ At the Point (- 2, 1)for the Function Which Is

question 4

Multiple Choice

Find the value of $\frac{d y}{d x}$ at the point (- 2, 1) for the function which is defined implicitly by $x ^ { 2 } y - \frac { x } { y } = 6$

• A)2
• B)0.5
• C)0.4
• D)1.5
• E)2.5

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Definitions:

Inclined Surface

A plane surface set at an angle to a horizontal surface.

Ellipse

A regular oval shape, described by a curve on a plane, such that for any point on the curve, the sum of the distances to two fixed points (foci) is constant.

Deep/Depth Symbol

A drafting notation used to designate the depth of a hole or a recess in technical drawings.

Auxiliary View

A supplementary orthographic view in drafting and engineering used to show features that are not fully visible or clear in the principal views.