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Maths-
General
Easy
Question
The value of 'c' in Lagrange's mean value theorem for in [0, 1] is
1/3
1/2
2/3
0
Hint:
By Lagrange's Mean Value Theorem Lagrange mean value theorem states that for any two points on the curve there exists a point on the curve such that the tangent drawn at this point is parallel to the secant through the two points on the curve.
The correct answer is: 1/3
Given : is a polynomial in the range [0, 1] We know that a polynomial in the range is continuous and differentiable
By Lagrange's Mean Value Theorem Lagrange mean value theorem states that for any two points on the curve there exists a point on the curve such that the tangent drawn at this point is parallel to the secant through the two points on the curve.