AP EAMCET · Maths · Application of Derivatives
If for then the value of satisfying Lagrange's mean value theorem is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given: f(x)=(x-1)(x-2)(x-3) ⇒fx=x3-6x2+11x-6 f'x=3x2-12x+11 Now, fx is continuous in R as it is a odd degree polynomial. From Lagrange's mean value theorem, if fx is continuous in a,b and differentiable in a,b then there exist c∈a,b such that f'c=fb-fab-a…
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