Question

What is the derivative of x^2?

Answer 1

Answer:

$\displaystyle \frac{d}{dx}[x^2] = 2x$

General Formulas and Concepts:

Calculus

Differentiation

• Derivatives
• Derivative Notation

Basic Power Rule:

1. f(x) = cxⁿ
2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = x^2$

Step 2: Differentiate

1. Basic Power Rule:                                                                                         $\displaystyle \frac{dy}{dx} = 2x^{2 - 1}$
2. Simplify:                                                                                                         $\displaystyle \frac{dy}{dx} = 2x$

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

Unit: Differentiation