Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]:
Derivative Rule [Chain Rule]:
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Implicit Differentiation:
- Rewrite [Derivative Property - Addition/Subtraction]:
- Rewrite [Derivative Property - Multiplied Constant]:
- Basic Power Rule [Product Rule, Chain Rule]:
- Basic Power Rule [Chain Rule]:
- Simplify:
- Isolate <em>y'</em> terms:
- Factor:
- Isolate <em>y'</em>:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e