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Which of the following functions are differentiable for all x ?

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Which of the following functions are differentiable for all x?

$f(x) = 2x\cos(x+1)$ f(x) = 2x\cos(x+1)

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h(x) = |x^2-2x|

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$g(x) = e^{\sin(x)}$ g(x) = e^{\sin(x)}

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$t(x)=\left\{\begin{array}{ll}1-x&\text{ for }x < 0\\1-x^2&\text{ for }x \geq 0\end{array}\right.$ t(x)=\left\{\begin{array}{ll}1-x&\text{ for }x < 0\\1-x^2&\text{ for }x \geq 0\end{array}\right.

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