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What is the derivative of x^2?

User Kinokijuf
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1 Answer

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Answer:


\displaystyle (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

Explanation:

Step 1: Define

Identify


\displaystyle y = x^2

Step 2: Differentiate

  1. Basic Power Rule:
    \displaystyle (dy)/(dx) = 2x^(2 - 1)
  2. Simplify:
    \displaystyle (dy)/(dx) = 2x

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

Unit: Differentiation

User Assembler
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