Question

The function X-2 is differentiable everywhere on the real line?

Answer 1

Answer:

To show that f is differentiable at all x∈R, we must show that f′(x) exists at all x∈R. Recall that f is differentiable at x if limh→0f(x+h)−f(x)h exists. And so we see that f is differentiable at all x∈R with derivative f′(x)=−5.

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