Question

Find the derivative of x raise to 20​

Answer 1

`\displaystyle (d)/(dx)[x^(20)] = 20x^(19)`

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 y = x^(20)`

Step 2: Differentiate

1. Basic Power Rule:
   `\displaystyle y' = 20x^(19)`

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

Unit: Differentiation