Tangent lines with zero slope
a. Graph the function f(x) = 4 − x2.
b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope.
c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a − h, f(a − h)) and (a + h, f(a + h)) has slope zero for any value of h ≠ 0?
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