What is the derivative of at ?
Answer and explanation
Correct answer: C.
- Step 1: Product rule: .
- Step 2: Evaluate at : , .
- Step 3: Thus .
Answer
.
Why not the others: evaluates only the first term while setting to zero; incorrectly assumes the entire derivative vanishes; and divides by .
Practise more Differentiation.
Free questions with an explanation for every one, and full timed AP (Advanced Placement) mock tests.