Find an Equation of the Tangent Line to the Curve $y=x^{3}-2 x$

question 36

Multiple Choice

Find an equation of the tangent line to the curve $y=x^{3}-2 x$ at the point $(2,6)$ .

• A) \(y=2+2 x\)
• B) \(y=x-6\)
• C) \(y=6+2 x\)
• D) \(y=2-2 x\)
• E) None of these

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Definitions:

Produce Fruit

The biological process in which flowering plants generate fruits, which are the mature ovary of a flower and often contain seeds.

Bryophytes

A group of non-vascular plants, including mosses, liverworts, and hornworts, characterized by their life cycle and lack of traditional leaves and roots.

Dominant Gametophytes

In the lifecycle of plants, gametophytes that express the dominant traits and typically produce the majority of gametes for reproduction.

Eudicots

One of the major groups of flowering plants, characterized by seeds with two embryonic leaves or cotyledons.