Q3 of 96 Page 15

State Lagrange’s mean value theorem.

Lagrange’s Mean Value Theorem is stated as below :-


Let f(x) be a function defined on a, b such that


i. It is continuous on a, b and


ii. It is differentiable on a, b.


Then there exists a real number c Є a, b such that .


More from this chapter

All 96 →
1

If f(x) = Ax2 + Bx + C is such that f(a) = f(b), then write the value of c in Rolle’s theorem.

 2

State Rolle’s theorem.

 4

If the value of c prescribed in Rolle’s theorem for the function f(x) = 2x (x – 3)n on the interval write the value of n (a positive integer).

5

Find the value of c prescribed by Lagrange’s mean value theorem for the function defined on [2, 3].