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Continuity And Differentiability

  1. Jan 10, 2004 #1
    Consider [tex]f(x)=x^3-x^2+x+1 [/tex]
    [tex] g(x)=\left\{\begin{array}{cc}{max\{f(t),0\leq t \leq x\}}\;\ 0\leq x \leq 1
    \\ 3-x\;\ 1< x \leq 2\end{array}\right[/tex]

    Discuss the continuity and differentiability of g(x) in the interval (0,2)

    I know how to do it
    As f(x) is increasing function therefore max will be x^3-x^2+x+1.
    I want to know the problem graphically ??[?]
    Last edited: Jan 10, 2004
  2. jcsd
  3. Jan 10, 2004 #2
    Oh! I am also in difficulty with "Continuity And Differentiability" like limits! Seems you can explain a little :)
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