AP EAMCET · Maths · Application of Derivatives
For the function \(f(x)=(x-1)(x-2)\) defined on \(\left[0, \frac{1}{2}\right]\), the value of \(c\) satisfying Lagrange's mean value theorem is
- A \(\frac{1}{5}\)
- B \(\frac{1}{3}\)
- C \(\frac{1}{7}\)
- D \(\frac{1}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{4}\)
Step-by-step Solution
Detailed explanation
Given function, \(f(x)=(x-1)(x-2)\) \[ =x^2-3 x+2 \text { and } x \in\left[0, \frac{1}{2}\right] \] By using Lagrange's mean value theorem,…
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