Which of the following statements is not true?

  • A
    $A$ polynomial function is always continuous.
  • B
    $A$ continuous function is always differentiable.
  • C
    $A$ differentiable function is always continuous.
  • D
    $e^x$ is continuous for all $x$.

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Let $f(x) = \frac{x}{1 + |x|}$ be differentiable at . . . .

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The set of all those points,where the function $f(x) = \frac{x}{1 + |x|}$ is differentiable,is

$f(x) = |\log_e |x||$ is differentiable at

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