himanshu121
Jan10-04, 04:35 AM
Consider f(x)=x^3-x^2+x+1
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
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.
But
I want to know the problem graphically ??[?]
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
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.
But
I want to know the problem graphically ??[?]