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 [1,3].

=5

⇒ f'(c)=4c-3

⇒ 4c-3=5

⇒ c=2

1

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

2

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

4

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

5

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