- #1

m.medhat

- 37

- 0

## Homework Statement

hello ,

if f(x) is a function which satisfies the mean value theorem , where :-

[tex]f(x) = \left\{ {\begin{array}{*{20}c}

{2x^3 - x + 1\quad \quad x \in [0,1]} \\

{3x^2 - x\quad \quad \quad x \in (1,3]} \\

\end{array}} \right.[/tex]

find the value of (c) by using the mean value theorem , where (c) is the points in which the slope of tangent is equal to the slope of chord .

I want the steps of the solution please .

## Homework Equations

## The Attempt at a Solution

i solve with some method and find that c=13/9

and I solve with other method and find that c=2 or c=1/(sqrt 3)

very thanks >>