Question

Differentiate 7x²
differentiate 7 x square ​

Answer 1

y' = 14x

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

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

• f(x) = cxⁿ
• f’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Identify

y = 7x²

Step 2: Differentiate

1. Basic Power Rule: y' = 2 · 7x²⁻¹
2. Simplify: y' = 14x

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

Unit: Derivatives

Book: College Calculus 10e