Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]: ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%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>
<em>Identify</em>

<u>Step 2: Differentiate</u>
- Logarithmic Differentiation [Derivative Rule - Chain Rule]:

- Trigonometric Differentiation [Derivative Rule - Chain Rule]:

- Basic Power Rule:

- Rewrite [Trigonometric Identities]:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
2 3/5
Step-by-step explanation:
convert mixed number into improper fraction
(whole number × denominator + numerator over denominator)
4 × 3 + 1
12 + 1
13/3
13/3 × 3/5
multiply numerators
39
multiply denominators
15
39/15
3 can be divided into both number 39 and number 15 so:
13/5
this is simplest form as an improper fraction
if the teacher wants simplest form as a whole number, the answer is:
2 3/5
Answer:
nope this is completely correct good job!
Step-by-step explanation:
Answer:
290 + 5m = 985
Step-by-step explanation:
<u>Given information</u>:
- Initial payment = $290
- Total payment = $985
- Extra amount each month = m
- Length of rental = 5 months
From the <u>given information</u>, we can create the following <u>equation</u>:
Initial payment <u>plus</u> extra amount each month for 5 months <u>equals</u> total payment.
⇒ 290 + 5m = 985
<u>To solve the equation</u>:
Subtract 290 from both sides:
⇒ 290 + 5m - 290 = 985 - 290
⇒ 5m = 695
Divide both sides by 5:
⇒ 5m ÷ 5 = 695 ÷ 5
⇒ m = 139
Therefore, the extra amount George paid each month was $139.
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