Two neon lights are turned one at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds,
2 answers:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]:
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
y = (3x - 1)⁵(4 - x⁴)⁵
<u>Step 2: Differentiate</u>
- Product Rule:
- Chain Rule [Basic Power Rule]:
- Simplify:
- Basic Power Rule:
- Simplify:
- Multiply:
- Factor:
- [Distributive Property] Distribute 3:
- [Distributive Property] Distribute -4x³:
- [Brackets] Combine like terms:
- Factor:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e