A) f(x) is not everywhere continuous
B) f(x) is continuous and differentiable everywhere
C) f(x) is not differentiable at two points
D) (x) is not differentiable at one point
Correct Answer: D
Solution :
It is evident from the graph of r( x) that \[f(x)=\left\{ \begin{matrix} 1, & x\ge 1 \\ {{x}^{3}}, & x<1 \\ \end{matrix} \right.\] Clearly, f( x) is everywhere continuous but it is not differentiable at x = 1.You need to login to perform this action.
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