Problem

Steep secant linesa.Given the graph of f in the following figures, find the slope of the s...

Steep secant lines

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 pan (a) as and h → 0+ and h 0. What does this tell you about the line tangent to the curve at (0,0)?

f(x) = x2/3

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