Question

Find the derivative of f(x)=|x^2-1| at the point (1, 0)
-1
0
1
Does not exist

Answer 1

Answer:

Does not exist.

Step-by-step explanation:

d/dx |u| = (u / |u|) * du/dx

Here u = x^2  - 1  and du/dx = 2x , so we have

2x (x^2 - 1) /  |x^2 - 1|    as the required derivative.

At the point (1,0)

the denominator = |1^2 - 1| = 0

- so  the derivative does not exist at (1, 0)