Mathematics Medium css pms fpsc

What is the derivative of x³ with respect to x?

  • A
  • B 3x
  • C 3x²
  • D 2x³
Correct Answer: Option C — 3x²
Explanation: Derivative of xⁿ = nxⁿ⁻¹ (power rule). For x³: derivative = 3x². Differentiation measures the instantaneous rate of change of a function. The power rule is the most fundamental differentiation rule forming the starting point for all calculus problems in CSS PMS and higher competitive examinations.
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