The derivative of with respect to is
Answer and explanation
Correct answer: B.
- Step 1: State the definition of the derivative for the exponential function: .
- Step 2: Factor out : .
- Step 3: By definition of the natural base , , giving .
Answer
.
Why not the others: The other options (, , ) result from applying the power rule incorrectly, forgetting to differentiate lower-order terms, or arithmetic substitution errors.
Practise more Basic results.
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