Answer:
General Formulas and Concepts:
<u>Algebra I</u>
- Exponential Rule [Powering]:
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u> </u>
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em />
<u>Step 2: Differentiate</u>
- Rewrite [Exponential Rule - Root Rewrite]:
- Quotient Rule:
- Simplify [Exponential Rule - Powering]:
- Basic Power Rule [Derivative Property - Addition/Subtraction]:
- Simplify:
- Rewrite [Exponential Rule - Rewrite]:
- Rewrite [Exponential Rule - Root Rewrite]:
- Simplify [Rationalize]:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e