$\text { Differentiate implicitly to find } \frac { d y } { d x } \text {. }$

question 80

Multiple Choice

$\text { Differentiate implicitly to find } \frac { d y } { d x } \text {. }$ $x ^ { 2 } - 4 x y + y ^ { 2 } - 10 x + y - 9 = 0$

• A) \(\frac { d y } { d x } = - \frac { 2 x - 4 y - 10 } { 2 y - 4 x + 1 }\)
• B) \(\frac { d y } { d x } = \frac { 2 x + 4 y + 10 } { 2 y + 4 x + 1 }\)
• C) \(\frac { d y } { d x } = \frac { 2 x - 4 y - 10 } { 2 y - 4 x + 1 }\)
• D) \(\frac { d y } { d x } = \frac { 2 x + 4 y - 10 } { 2 y + 4 x - 1 }\)
• E) \(\frac { d y } { d x } = - \frac { 2 x + 4 y + 10 } { 2 y + 4 x + 1 }\)

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Definitions:

Cones

Retinal receptors that are concentrated near the center of the retina and that function in daylight or in well-lit conditions. Cones detect fine detail and give rise to color sensations.

Fovea

A tiny depression in the retina of the eye where visual acuity is highest due to a high concentration of cones.

Pupil Dilation

The expansion of the pupil of the eye, which can occur due to various factors, including emotional arousal, changes in light, or the influence of certain drugs.

Color Receptors

Specialized cells in the retina of the eye, called cones, that are sensitive to different wavelengths of light, enabling color vision.