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Prime notation is used to denote only

  • A.first derivative
  • B.first two derivatives
  • C.first three derivatives
  • D.first four derivatives

Answer: C

Prime notation is convenient only for low orders:

\[ y', \quad y'', \quad y''' \]

Beyond the third derivative the primes become hard to count, and the numeral form \( y^{(4)} \) or the Leibniz form \( \tfrac{d^{4}y}{dx^{4}} \) is used instead.

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