Respuesta :

Space

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Functions
  • Function Notation

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

  1. Basic Power Rule:                                                                                             y' = 3x³⁻¹ + 2 · 3x²⁻¹ - 1 · 5x¹⁻¹
  2. Simplify:                                                                                                             y' = 3x² + 6x - 5

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

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