SOLUTION: a) Determine the general equation, in simplified form, for the slope of the secant line on the graph of f(x) = x^2 between the point with x-coordinate a = 3, and the point (a + h,

Question 1176224: a) Determine the general equation, in simplified form, for the slope of the secant line on the graph of f(x) = x^2 between the point with x-coordinate a = 3, and the point (a + h, f(a + h)). Do not use a specific value of h.
b) Use the result of part a) to estimate the slope of the tangent line at the point with x-coordinate 3.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(3, 9) and (3+h, 9+6h+h^2)
the slope is 6h+h^2/h
which is 6+h
At x=3, the slope would be 6+h and as h approaches 0, the slope approaches 6.
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