Calculus Questions with Answers (3)
Approximate graphically the first derivative of a function f from its graph. Questions are presented along with solutions.
Question 1Below is shown the graph of function f.a) Assuming that the only extrema of function f are the ones shown in the graph, for what values of x is f '(x) = 0? b) Assuming that the graph of function f rises indefinitely on the right and on the left, for what values of x is f '(x) negative? For what values of x is f '(x) positive? Solution to Question 1:
Question 2The graph of function f is shown below. Assuming that function f is odd and has horizontal asymptotes, approximate graphically the graph of the first derivative f ' of f.Solution to Question 2:
Question 3Approximate the graph of the first derivative f ' of function f when given the graph of f below. Assume that the graph of f is symmetric with respect to the vertical line x = -0.5 and that f has y = 0 as a horizontal asymptote.Solution to Question 3:
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