Answer:

General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
- Factoring
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]: ![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%20%2B%20g%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%20%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%29%5D)
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]: ![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%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)
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)
Explanation:
<u>Step 1: Define</u>
<em>Identify</em>
y = x(1 + x)³
<u>Step 2: Differentiate</u>
- Product Rule [Derivative Rule - Chain Rule]:
![\displaystyle y' = \frac{d}{dx}[x] \cdot (1 + x)^3 + x \cdot \frac{d}{dx}[(1 + x)^3] \cdot \frac{d}{dx}[1 + x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5D%20%5Ccdot%20%281%20%2B%20x%29%5E3%20%2B%20x%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%281%20%2B%20x%29%5E3%5D%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B1%20%2B%20x%5D)
- Derivative Property [Addition/Subtraction]:
![\displaystyle y' = \frac{d}{dx}[x] \cdot (1 + x)^3 + x \cdot \frac{d}{dx}[(1 + x)^3] \cdot (\frac{d}{dx}[1] + \frac{d}{dx}[x])](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5D%20%5Ccdot%20%281%20%2B%20x%29%5E3%20%2B%20x%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%281%20%2B%20x%29%5E3%5D%20%5Ccdot%20%28%5Cfrac%7Bd%7D%7Bdx%7D%5B1%5D%20%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5D%29)
- Basic Power Rule:

- Simplify:

- Factor:
![\displaystyle y' = (1 + x)^2 \bigg[ (1 + x) + 3x \bigg]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%281%20%2B%20x%29%5E2%20%5Cbigg%5B%20%281%20%2B%20x%29%20%2B%203x%20%5Cbigg%5D)
- Combine like terms:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
Magnification
Explanation:
According to my research on Cognitive Distortions, I can say that based on the information provided within the question the maladaptive thought pattern related to Ioana's frequent depression is called Magnification. When speaking about Cognitive Distortions, Magnification is the process of taking something insignificant (Like Ioana's mole) and exaggerating its effect.
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Answer:
Parents should report whether the child has recently ingested anything that can easily cause a choking, such as peanuts, popcorn, and so on.
Explanation:
Wheezes are continuous, musical, high-pitched sounds. They can be seen at any stage of the breathing cycle, although they are more audible on expiration. They usually indicate some respiratory disease, but normal individuals may have wheezing when they force their exhalation too hard.
The presence of wheezing indicates airway obstruction (airflow limitation) and may result in airway secretion and vibration of the airway walls that may collapse (close). There may be thickening of the airway walls or lumen (cavity) obstruction. Wheezing can occur for a variety of reasons, but it is more common for children to be due to the presence of foreign body in the airway, so it is important that the parents of a child with syllable explain to the medical team if the child has eaten any easy food. cause choking, such as peanuts, for example.
This is true. Endorphin's are released during exercise and cause a euphoric feeling.
No, the skull should be where the kneecap is. Other than that, the rest is right.