a. Given the graph of f in the following figures, find the slope of the secant line that passes through (0, 0) and (h, f (h)) in terms of h, for h > 0 and h < 0.

b. Analyze the limit of the slope of the secant line found in part (a) As h → 0⁺ and  h → 0^-. What does this tell you about the line tangent to the curve at (0, 0)?

f(x) = x^1/3

Transcribed Image Text:

УА (h, h³) (0, 0) х „13 y = x/3