Question:

\(\dfrac{d^{2}}{dx^{2}}(e^{5x})=\) ?

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Each differentiation of $e^{kx}$ brings down another factor $k$.
  • \(e^{5x}\)
  • \(10e^{5x}\)
  • \(5e^{5x}\)
  • \(25e^{5x}\)
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The Correct Option is D

Solution and Explanation

First derivative: \((e^{5x})'=5e^{5x}\). Second derivative: differentiate again \(\Rightarrow 25e^{5x}\).
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