Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Exponential Rule [Root Rewrite]:
![\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
- Exponential Rule [Rewrite]:

<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Implicit Differentiation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>

Point (1, 4)
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:

- [Implicit Differentiation] Basic Power Rule:

- [Implicit Differentiation] Simplify Exponents:

- [Implicit Differentiation] Rewrite [Exponential Rule - Rewrite]:

- [Implicit Differentiation] Isolate <em>y</em> terms:

- [Implicit Differentiation] Isolate
: 
- [Implicit Differentiation] Simplify:

<u>Step 3: Evaluate</u>
- Substitute in point [Derivative]:

- Exponents:

- Division:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Answer:
The population of Detroit in 1970 was 1,431,905 people.
Step-by-step explanation:
Take the number 743,204 and add the number 688,701.
So first subtract 20 from both sides of the equation.
3x-4=35
now add 4 to both sides.
3x=39
now divide both sides by
x=13
Step-by-step explanation:
f(g(x))=(3x+1)^2 +2(3x+1) -4
=9x^2 +6x +1 +6x +2 -4
=9x^2 +12x +(-1)