Find the Slope of the Curve at the Indicated Point $f ( x ) = \frac { 1 } { x }$

question 28

Multiple Choice

Find the slope of the curve at the indicated point.
-Find equations of all tangents to the curve $f ( x ) = \frac { 1 } { x }$ that have slope $- 1$ .

• A) \(y = - x + 2\)
• B) \(y = - x + 2 , y = - x - 2\)
• C) \(y = x - 2\)
• D) \(y = x + 2 , y = x - 2\)

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Definitions:

Plasma Membrane

A lipid bilayer that encloses the cytoplasm of a cell, protecting it and controlling the movement of substances in and out of the cell.

Cytokinesis

The final stage of cell division, where the cell's cytoplasm divides, forming two daughter cells.

Cell Division

The process by which a parent cell divides into two or more daughter cells, crucial for growth, reproduction, and repair in living organisms.

Spindle Fibers

The microtubules that form during cell division to separate chromosomes into daughter cells.