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: mistakenly treats the exponential base as a polynomial power, is the inverse function, and drops the base.
Practise more Basic results.
Free questions with an explanation for every one, and full timed AP (Advanced Placement) mock tests.