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:
f(x) = x³+2x²-16x-32
Step-by-step explanation:
f(x) = 0 when x = -4, -2, 4
So these are the roots
Factors are (x+4)(x+2)(x-4)
f(x) = [(x+4)(x-4)](x+2)
f(x) = (x²-16)(x+2)
f(x) = x³+2x²-16x-32
Answer:
A. y = 3x + 1
Step-by-step explanation:
y intercept is 1
gradient is
= 3
equation is y = 3x+1
Answer:then the days would be on the x axis (dependant variable) and the Amount of candy would be on the y axis(independent variable=something that can be changed)
Answer:
13
Step-by-step explanation:
(x + 3)^3/2 = 64
√(x + 3)^3 = 64
(x + 3)^3 = 64^2
(x + 3)^3 = (4^3)^2
(x + 3)^3 = (4^2)^3
Same exponent
So
x + 3 = 4^2
x + 3 = 16
x = 13