Answer:

General Formulas and Concepts:
<u>Calculus</u>
Limits
- Limit Rule [Variable Direct Substitution]:

Differentiation
- Derivatives
- Derivative Notation
The definition of a derivative is the slope of the tangent line: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em />
<u>Step 2: Differentiate</u>
- [Function] Substitute in <em>x</em>:

- Substitute in functions [Definition of a Derivative]:

- Simplify:

- Evaluate limit [Limit Rule - Variable Direct Substitution]:

- Simplify:

∴ the derivative of the given function will be equal to 4 divided by x².
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
<u>Answer:</u>
Mid point = 
<u>Step-by-step explanation:</u>
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = 
So putting in the given values to find the mid point of line segment AB:
Mid point =
= 
Answer:
2.5
Step-by-step explanation:
if you take 80 and 120 on the graph look at the middle you get 100 and in between 2 and 3 you get 2.5 so it would take 2.5 gallons of gas for 100 miles