Which statement about the function is correct?

Answer and explanation

Correct answer: C. It is its own derivative and is positive for every real

  1. Step 1: The exponential function with base satisfies . Step 2. Since for all real , it has no zeros and is never negative. Answer: it is its own derivative and positive everywhere. Why not the others: is the power-rule form for and does not apply, is not the derivative, and not .

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