TS EAMCET · Maths · Application of Derivatives
Let be continuous on and differentiable on Let and . If , then for some Lagrange's constant
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
gx=fxx+1·f0=12, f6=-4 C∈0,6 ⇒ g0=f00+1=121=12 ⇒ g6=f66+1=-47 From Lagrange's theorem, g'c=g6-g06-0 =-47-126=-8842 ∴g'c=-4421
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