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1 answer:
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Exponential Rule [Root Rewrite]:
- Exponential Rule [Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Implicit Differentiation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
Point (1, 4)
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- [Implicit Differentiation] Basic Power Rule:
- [Implicit Differentiation] Simplify Exponents:
- [Implicit Differentiation] Rewrite [Exponential Rule - Rewrite]:
- [Implicit Differentiation] Isolate <em>y</em> terms:
- [Implicit Differentiation] Isolate :
- [Implicit Differentiation] Simplify:
<u>Step 3: Evaluate</u>
- Substitute in point [Derivative]:
- Exponents:
- Division:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
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