How to tell if something is differentiable

When asked to determine the intervals of differentiability of a function, do the following: Plot the graph of the function f (x) f (x). Look at the domain of the function f (x) f (x)

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How to determine whether this function is differentiable at a

!You check if f is differentiable at the point x = 1. You begin with the left limit: lim x → 1 − f ′ ( x) = lim x → 1 − 2 x = 2 ⋅ 1 = 2 Next, the right limit: lim x → 1 + f ′ ( x) = lim x → 1 + − 2 = − 2 Because

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