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## Homework Statement

Find if continuous and differentiable. I am having problems with the differentiable part.

## Homework Equations

f(x) = x² + 3, |x| ≤ 1

f(x) = |x| + 3, |x| > 1

## The Attempt at a Solution

(1)^2 + 3 = 4

|1| + 3 = 4

∴ It is continuous

Now, rewriting it, you have...

x² + 3, x ≥ -1 or x ≤ 1

-x + 3, x < -1 or x > 1

x + 3, x < -1 or x > 1

Finding the limits from left and right of 1...

From the left = 2x, = 2

From the right: can be both -1 and 1...

Where did I go wrong?