The value of C in mean value theorem for the function `f(x)=x^(2)` in [2, 4] is

A

3

B

2

C

4

D

`7//2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The value of c in Mean value theorem, for the function f(x) = x(x2) and x in [1,2] is

Find 'c' of the mean value theorem for the function f(x)=2x^(2)-10x+29 in [2,9].

Verify Mean Value Theorem for the function f(x)=x^(2) in the interval [2,4].

The value of c in Rolle's theorem for the function f(x) = e^(x).sin x, x in [0, pi] is

The value of 'c' in Rolle's theorem for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] is :

Verify Rolle's theorem for the function f(x)=x^(2)+2, x in [-2,2]

Verify Roll's theorem for the function f(x)= x^(2)+2, x in [-2,2]

The value of 'c' in Lagrange's Theorem for the function f(x)=log(sinx) in the interval [(pi)/(6), (5pi)/(6)] is :

The value of 'c' in lagrange 's theorem for the function f(x)=log (sin x) in the interval [(pi)/(6),(5pi)/(6)] is

Verify Rolle's theorem for the function f(x)=x^(2)+2x-8, x in [-4,2] .