Question

Estimate the value of f'(0). Additionally, what is a value x = c for which f'(c) = 0? (Part A is already done)

Answer 1

Part b0
`f'(0)` is the slope of the line tangent to the graph of `f` at `0`. So you need to approximate the slop of the line you drew for part `a`. It looks like the point `(0,-1)` is on the line. Approximate another and finr the slope of the line through those two points.

Part c)
Since `f'(x)` is the slope of the line tangent to the graph at `(x,f(x))`, you need to decide where it looks like the slope of the tangent line is `0`. (Hint: the slope of a horizontal line is `0`.)