Answer:
![\displaystyle \frac{d}{dx}[3x + 5x] = 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5B3x%20%2B%205x%5D%20%3D%208)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]: ![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Differentiate</u>
- Simplify:

- Derivative Property [Multiplied Constant]:
![\displaystyle y' = 8\frac{d}{dx}[x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%208%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5D)
- Basic Power Rule:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
$1.00
Step-by-step explanation:
The tax rate in Nebraska = 5.5%
Cost of the shirt before tax = $18.20
Therefore:
Tax to be paid = 5.5% of $18.20

The amount you need to pay as tax is $1.00.
Answer: c
Step-by-step explanation: because yes
Answer:
1. 11
2. 20
3. 34
4. 12.6
5. 18
6. 105
Step-by-step explanation:
We are told that ---> t = 0, x = 1.5, y = 6, and z = 23
1. y + 5
= 6 + 5
= 11
2. z - 2x
= 23 - 2(1.5)
= 23 - 3
= 20
3. 2z - 2y
= 2(23) - 2(6)
= 46 - 12
= 34
4. 2.6y - 2x
= 2.6(6) - 2(1.5)
= 15.6 - 3
= 12.6
5. 4(y - x)
= 4(6 - 1.5)
= 24 - 6
= 18
6. 4(2 + z) + 5
= 4(2 + 23) + 5
= 8 + 92 + 5
= 105