Verify Lagrange’s mean-value theorem for the following function:

Given:

Since the f(x) is a polynomial function,

It is continuous as well as differentiable in the interval [4,6].

=0

⇒ f' (c)=3c²-36c+104

=3c²-36c+10

=0

3

Verify Lagrange’s mean-value theorem for the following function:

4

Verify Lagrange’s mean-value theorem for the following function:

6

Verify Lagrange’s mean-value theorem for the following function:

7

Verify Lagrange’s mean-value theorem for the following function: