- #1
cjaylee
- 7
- 0
Homework Statement
Use the limit definition of derivative to determine the derivative of the following function:
f(x) = { sqrt(x^2+1) if x<=0
0 if x>0
Homework Equations
I'm not sure as to why the function is not continuous at x=0, and so it's not differentiable at that point.
The Attempt at a Solution
The left-hand limit and right-hand limit give me 0. And if I plot a graph, the graph hits 0 as it moves from one function to the other.