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When ∊ is a constant than ∂/∂x(∊x)=

  • A.∊x
  • B.x
  • C.∊
  • D.∊x²

Answer: C

A constant factor passes straight through differentiation.

\[ \frac{\partial}{\partial x}(\epsilon x) = \epsilon \cdot \frac{\partial x}{\partial x} = \epsilon \cdot 1 = \epsilon \]

Since \( \epsilon \) does not depend on \( x \), it is not itself differentiated.

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