Let be continuous on and differentiable on with and . The Mean Value Theorem guarantees a value where equals what?
Answer and explanation
Correct answer: C.
- Step 1: Mean Value Theorem: .
- Step 2: Calculate: .
Answer
.
Why not the others: uses as the target derivative; uses the interval width as the denominator without evaluating; and divides by without subtracting .
Practise more Differentiation.
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