For the Function $f(x)=\frac{-3}{x+2}$ (A) Find the Slope of the Function at X=2

question 31

Essay

For the function $f(x)=\frac{-3}{x+2}$
(a) Find the slope of the function at x=2 using the definition of the derivative.
(b) What is the equation of the tangent line to the curve f(x) at x=2 ?

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Definitions:

Stereoscopic Vision

The ability to perceive depth and three-dimensional structure from visual information, due to the brain processing images from both eyes.

Color Vision

The ability of organisms to distinguish objects based on the wavelengths of the light they reflect, emit, or transmit.

Binocular Vision

The ability to maintain visual focus on an object with both eyes, creating a single visual image.

Two-Dimensional Vision

The perception of visual information in only two dimensions (width and height), lacking depth, which is the third dimension; common in depictions like drawings or photographs.