Find All Points on the Graph of Y = $x ^ { 3 }$

question 76

Short Answer

Find all points on the graph of y = $x ^ { 3 }$ where the curve has slope 12. The slope of the tangent line to the graph is 3 $x ^ { 2 }$ .
Enter your answer exactly in the form: (a, b), (c, d) where a > c.

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Definitions:

Dim Light

Low-intensity illumination that provides a subdued visual environment.

Cornea

The clear, dome-shaped front surface of the eye that helps to focus light onto the retina.

Window

An opening in the wall of a building, vehicle, or container, typically covered with glass, that allows light and air to enter and people to see out; metaphorically, an opportunity or period of time.

Retina

The light-sensitive layer of tissue at the back of the inner eye, which transmits visual information to the brain via the optic nerve.