Test whether the function f(x) = x^2 + 1, for x 2 = 2x + 1, for x… - Vidyadip

Question

Test whether the function
$f(x) = x^2 + 1,$ for $x \geq 2$
$= 2x + 1,$ for $x < 2$
is differentiable at $x = 2.$

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