MCQ
Is Rolle’s theorem valid for f(x) = x2 - 3x + 4 in the interval [1, 2]?
- AYes
- BNo
- CDepends on x
- DData not sufficient
✓
Answer
- Yes
Solution:
Obviously, f(x) is continuous at [1, 2]
And, f(x) differentiable at [1, 2]
Also, f(1) = f(2) = 2
Now, f(x) = 0
⇒ 2x - 3 = 0
$⇒ \text{x} = \frac{3}{2}$
Thus, x belongs to [1, 2]
Hence, it is verified.
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