That depends on the volume of the suitcase. The size of all golf balls is the same. The size of all suitcases is not.
The answer elevation /_angle B /_ V
Answer:
The slope is 4/5
Step-by-step explanation:
find perfect points or pretty points and rise then run go up from one point then go over to the next point and you get the slope. In this scenario you go up 4 and over 5 to get to the next point.
G(x) = -3x - 4
g(x) = |3x| + 4
I hope I answered the questions right
Answer:
![\displaystyle y' = \frac{-2}{x \ln (10)[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B-2%7D%7Bx%20%5Cln%20%2810%29%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- 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)
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]: ![\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5D%3D%5Cfrac%7Bg%28x%29f%27%28x%29-g%27%28x%29f%28x%29%7D%7Bg%5E2%28x%29%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>

<u>Step 2: Differentiate</u>
- [Function] Derivative Rule [Quotient Rule]:
![\displaystyle y' = \frac{[\log (x) - 2][\log (x)]' - [\log (x) - 2]'[\log (x)]}{[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%5B%5Clog%20%28x%29%20-%202%5D%5B%5Clog%20%28x%29%5D%27%20-%20%5B%5Clog%20%28x%29%20-%202%5D%27%5B%5Clog%20%28x%29%5D%7D%7B%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
- Rewrite [Derivative Rule - Addition/Subtraction]:
![\displaystyle y' = \frac{[\log (x) - 2][\log (x)]' - [\log (x)' - 2'][\log (x)]}{[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%5B%5Clog%20%28x%29%20-%202%5D%5B%5Clog%20%28x%29%5D%27%20-%20%5B%5Clog%20%28x%29%27%20-%202%27%5D%5B%5Clog%20%28x%29%5D%7D%7B%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
- Logarithmic Differentiation:
![\displaystyle y' = \frac{[\log (x) - 2]\frac{1}{\ln (10)x} - [\frac{1}{\ln (10)x} - 2'][\log (x)]}{[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%5B%5Clog%20%28x%29%20-%202%5D%5Cfrac%7B1%7D%7B%5Cln%20%2810%29x%7D%20-%20%5B%5Cfrac%7B1%7D%7B%5Cln%20%2810%29x%7D%20-%202%27%5D%5B%5Clog%20%28x%29%5D%7D%7B%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
- Derivative Rule [Basic Power Rule]:
![\displaystyle y' = \frac{[\log (x) - 2]\frac{1}{\ln (10)x} - \frac{1}{\ln (10)x}[\log (x)]}{[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%5B%5Clog%20%28x%29%20-%202%5D%5Cfrac%7B1%7D%7B%5Cln%20%2810%29x%7D%20-%20%5Cfrac%7B1%7D%7B%5Cln%20%2810%29x%7D%5B%5Clog%20%28x%29%5D%7D%7B%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
- Simplify:
![\displaystyle y' = \frac{\frac{\log (x) - 2}{\ln (10)x} - \frac{\log (x)}{\ln (10)x}}{[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%5Cfrac%7B%5Clog%20%28x%29%20-%202%7D%7B%5Cln%20%2810%29x%7D%20-%20%5Cfrac%7B%5Clog%20%28x%29%7D%7B%5Cln%20%2810%29x%7D%7D%7B%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
- Simplify:
![\displaystyle y' = \frac{\frac{-2}{\ln (10)x}}{[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%5Cfrac%7B-2%7D%7B%5Cln%20%2810%29x%7D%7D%7B%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
- Rewrite:
![\displaystyle y' = \frac{-2}{x \ln (10)[\log (x) - 2]^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B-2%7D%7Bx%20%5Cln%20%2810%29%5B%5Clog%20%28x%29%20-%202%5D%5E2%7D)
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation