If , find at .

Answer and explanation

Correct answer: C.

  1. Step 1: Apply the chain rule for natural logarithms: .
  2. Step 2: Here , so . Thus .
  3. Step 3: Substitute : .
Answer
.
Why not the others: '1/5' forgets the inner derivative , writing ; 'ln(5)' evaluates instead of the derivative ; '1/2' evaluates .

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