Question
Test whether the function
$f(x) = 5x – 3x^2,$ for $x \geq 1$
$= 3 – x,$ for $x < 1$
is differentiable at $x = 1.$
$f(x) = 5x – 3x^2,$ for $x \geq 1$
$= 3 – x,$ for $x < 1$
is differentiable at $x = 1.$
✓
Answer
Here, Lf'(1) = Rf'(1)∴ f(x) is differentiable at x = 1.
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