Answer:

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Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
<u>Algebra I</u>
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
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)
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
sin(x) + cos(y) + sec(xy) = 251
<u>Step 2: Differentiate</u>
- [Implicit Differentiation] Trig Differentiation [Chain Rule]:
- [Subtraction Property of Equality] Isolate
terms: 
- [Distributive Property] Distribute sec(xy)tan(xy):

- [Subtraction Property of Equality] Isolate
terms: 
- Factor out
: ![\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bdy%7D%7Bdx%7D%5B-sin%28y%29%20%2B%20xsec%28xy%29tan%28xy%29%5D%20%3D%20-cos%28x%29%20-%20ysec%28xy%29tan%28xy%29)
- [Division Property of Equality] Isolate
: 
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Answer:
34
Step-by-step explanation:
Plug in the X.
26+7*2-2*3= 34
62.49-39.99=22.5
22.5/.45=50
Brad was charged for 50 peak minutes.