Let $$f ( x ) = \left\{ \begin{array} { l l l }
0 & \text { if } & x

Question

Let $$f ( x ) = \left\{ \begin{array} { l l l } 
0 & \text { if } & x < 0 \
2 x & \text { if } & 0 \leq x \leq 1 \text { and } g ( x ) = \int _ { 0 } ^ { x } f ( t ) d t . \
2 & \text { if } & 1 < x
\end{array} \right.$$ (a) Find an expression for g (x) similar to the one for f (x).(b) Where is f differentiable? Where is g differentiable?

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The Answer of Let $$f ( x ) = \left\{ \begin{array} { l l l } 
0 & \text { if } & x < 0 \
2 x & \text { if } & 0 \leq x \leq 1 \text { and } g ( x ) = \int _ { 0 } ^ { x } f ( t ) d t . \
2 & \text { if } & 1 < x
\end{array} \right.$$ (a) Find an expression for g (x) similar to the one for f (x).(b) Where is f differentiable? Where is g differentiable?

Let (A) Find an Expression for G (X) Similar to the l