Q14 B of 292 Page 490

Find ‘c’ of Lagrange’s mean-value theorem for

Given:

Since the f(x) is a polynomial function,

It is continuous as well as differentiable in the interval [1,5].

)

⇒ 16c²=600-24c²

⇒ 40c²=600

⇒ c²=15

Show that Lagrange’s mean-value theorem is not applicable to on

14 A

Find ‘c’ of Lagrange’s mean-value theorem for

14 C

Find ‘c’ of Lagrange’s mean-value theorem for

Using Lagrange’s mean-value theorem, find a point on the curve , where the tangent is parallel to the line joining the point (1, 1) and (2, 4)