Answer:
$9.50
Step-by-step explanation:
In standard form:
answer- 14,000 and 12,000
Example
←LEFT 12,000
↑
comma(THOUSANDS PLACE)
ten thosands is the second number after the comma(thousands) to the left
The answer is 21.52 so I hope that helped
Answer:
![\displaystyle y'(1, \frac{3}{2}) = -3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%281%2C%20%5Cfrac%7B3%7D%7B2%7D%29%20%3D%20-3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Exponential Rule [Rewrite]:
![\displaystyle b^{-m} = \frac{1}{b^m}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20b%5E%7B-m%7D%20%3D%20%5Cfrac%7B1%7D%7Bb%5Em%7D)
<u>Calculus</u>
Derivatives
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
![\displaystyle \text{Point} \ (1, \frac{3}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctext%7BPoint%7D%20%5C%20%281%2C%20%5Cfrac%7B3%7D%7B2%7D%29)
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Rewrite]:
![\displaystyle y = \frac{3}{2}x^{-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20%5Cfrac%7B3%7D%7B2%7Dx%5E%7B-2%7D)
- Basic Power Rule:
![\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20-2%20%5Ccdot%20%5Cfrac%7B3%7D%7B2%7Dx%5E%7B-2%20-%201%7D)
- Simplify:
![\displaystyle y' = -3x^{-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20-3x%5E%7B-3%7D)
- Rewrite [Exponential Rule - Rewrite]:
![\displaystyle y' = \frac{-3}{x^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B-3%7D%7Bx%5E3%7D)
<u>Step 3: Solve</u>
- Substitute in coordinate [Derivative]:
![\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%281%2C%20%5Cfrac%7B3%7D%7B2%7D%29%20%3D%20%5Cfrac%7B-3%7D%7B1%5E3%7D)
- Evaluate exponents:
![\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%281%2C%20%5Cfrac%7B3%7D%7B2%7D%29%20%3D%20%5Cfrac%7B-3%7D%7B1%7D)
- Divide:
![\displaystyle y'(1, \frac{3}{2}) = -3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%281%2C%20%5Cfrac%7B3%7D%7B2%7D%29%20%3D%20-3)
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
It is suppose to be letter d