Question

F(x) = x^2 what is the derivative

Answer 1

`F^(')`(x) = 2x

Explanation:

F(x) = x²

differentiate F(x) with respect to x

`F^(')`(x) = 2x

Answer 2

`\displaystyle F'(x) = 2x`

General Formulas and Concepts:

Calculus

Differentiation

• Derivatives
• Derivative Notation

Basic Power Rule:

1. f(x) = cxⁿ
2. f’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Identify

`\displaystyle F(x) = x^2`

Step 2: Differentiate

1. Basic Power Rule:
   `\displaystyle F'(x) = 2x`

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

Unit: Differentiation