Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:

Answer: $57,000
Step-by-step explanation:
Understand what is being asked. 1st yr is 9000. Yr 2 is 9000+1200= 10200. Yr 3 =10,200+1200=11,400. Yr 4 is 11,400 +1200=12,600 and Yr 5 is 12600+1200=13,800. Over the course of 5 yrs you are paying 9000+10200+11400+12600+13800 which has a total sum of $57,000.
Answer:
So each side length is 4s+6
Step-by-step explanation:
Since we know the triangle is an equilateral triangle, we know the perimeter of the triangle is given by since all the sides are the same length
P = 3s where s is the side length
12x+18 = 3s
Divide each side by 3
12x/3 + 18/3 = 3s/3
4s +6 = s
So each side length is 4s+6
Answer:
C.) I x - 1 I + 3
Step-by-step explanation:
Since the bottom of the line is 3 units up, the equation should have "+ 3". Since the bottom of the line is one unit to the right, the equation should have "x - 1"