Which of the following expressions represents the derivative of at using the limit definition of the derivative?
Answer and explanation
Correct answer: D.
- Step 1: Recall the limit definition of the derivative: .
- Step 2: Here and , so .
- Step 3: Substitute into the definition: .
Answer
.
Why not the others: The option dividing by 2 places 2 in the denominator instead of increment ; the option mixes variables with in denominator; the option with subtracts instead of .
Practise more Basic results.
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