205k views
0 votes
What is the derivative of x cubed?

1 Answer

4 votes

Answer:


\displaystyle (dy)/(dx)[x^3] = 3x^2

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^3

Step 2: Differentiate

  1. Basic Power Rule:
    \displaystyle y' = 3x^(3 - 1)
  2. Simplify:
    \displaystyle y' = 3x^2

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

Unit: Differentiation

User PeanutButterJelly
by
8.3k points

No related questions found