Asked by Jen
f(x) = x^3 - 2x, x<=2
x + 2, x>2
Why do they say f'(2) is undefined?
TIA
I a f' = 3x^2-2 x<=2 and f'(2)=10
f' = 1 x>2 f'(2+)= 1
So although f(x) is continous at x=2, the curve f' is not. Therefore, f'(2) is undefined. Remember the basic definition of f' in limits, from the left, and right.
x + 2, x>2
Why do they say f'(2) is undefined?
TIA
I a f' = 3x^2-2 x<=2 and f'(2)=10
f' = 1 x>2 f'(2+)= 1
So although f(x) is continous at x=2, the curve f' is not. Therefore, f'(2) is undefined. Remember the basic definition of f' in limits, from the left, and right.
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