Find the Equation of the Tangent Line to the Curve $\frac { e ^ { x } } { 1 + e ^ { x } }$

question 124

Short Answer

Find the equation of the tangent line to the curve y = $\frac { e ^ { x } } { 1 + e ^ { x } }$ at $\left( 0 , \frac { 1 } { 2 } \right)$ .
Enter your answer in slope-intercept form with any fractions reduced as $\frac { a } { b }$ .

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Definitions:

Composition

In object-oriented programming, composition is a design principle where a class references one or more objects of other classes in instance variables, thus representing a "has-a" relationship.

"Has-a" Relationship

In object-oriented programming, it indicates that an object of one class contains or encapsulates objects of another class.

SetDimension

A method typically used in graphics programming to specify the dimensions (width and height) of an object.

Class Box

A custom data structure or object defined in programming that can encapsulate variables and methods.