Answer:

General Formulas and Concepts:
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
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)
Derivative: ![\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Be%5Eu%5D%3De%5Eu%20%5Ccdot%20u%27)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em />
<em />
<em />
<u>Step 2: Differentiate</u>
- eˣ Derivative [Derivative Rule - Chain Rule]:
![\displaystyle J'(x) = \frac{d}{dx}[e^{f(x)}] \cdot \frac{d}{dx}[f(x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20J%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5E%7Bf%28x%29%7D%5D%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D)
- Simplify:

<u>Step 3: Evaluate</u>
- Substitute in <em>x</em> [Derivative]:

- Substitute in function values:

- Simplify:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:x^6/4
Step-by-step explanation:
Simplifying the steps
Answer:
B
Step-by-step explanation:
an additional hour of walking is associated with an additional 0.7 mile walk
Answer:
Variance= (Standard deviation)^2=
✓6.25=Standard deviation
✓(625/100)= Standard deviation
25/10= Standard deviation
2.5= Standard deviation
Step-by-step explanation:
Answer: 244608
Step-by-step explanation: Multiply all of the numbers!