Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Property [Multiplied Constant]:
Derivative Rule [Chain Rule]:
ln Derivative:
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Differentiate</u>
- [Derivative] Chain Rule:
- [Derivative] Chain Rule [Basic Power Rule]:
- [Derivative] Simplify:
- [Derivative] ln Derivative:
- [Derivative] Basic Power Rule:
- [Derivative] Simplify:
- [Derivative] Multiply:
- [Derivative] Multiply:
- [Derivative] Multiply:
- [Derivative] Multiply:
- [Derivative] Factor:
- [Derivative] Simplify:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e