Question

Mean Value theorem is also known as

(a) Rolle’s Theorem

(b) Lagrange’s Theorem

(c) Taylor Expansion

(d) Leibnitz’s Theorem

The question was posed to me in examination.

Question is taken from Lagrange’s Mean Value Theorem in chapter Differential Calculus of Engineering Mathematics

Answer 1

The correct choice is (b) Lagrange’s Theorem

To elaborate: Statement of Mean Value Theorem is that, If function f(x) is continuous in closed interval [a, b] and differentiable in open interval (a, b), then there exists a point ‘c’ such that c∈(a, b) and f’(c) = [f(b)-f(a)]/(b-a).

It is also known as Lagrange’s Theorem.