Question

verify lagrange's theorem for the function​

Answer 1

Answer:

which exists ∀x∈R. ∴f(x) is differentiable in (1,4). Thus, both the conditions of Lagrange's mean value theorem is satisfied therefore, ∃c in (1,4). Hence, Lagrange's mean value theorem is verified and c=23.

Answer 2

Step-by-step explanation:

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This theorem (also known as First Mean Value Theorem) allows to express the increment of a function on an interval through the value of the derivative at an intermediate point of the segment.