DP Mathematics SL Questionbank
Graphical behaviour of functions, including the relationship between the graphs of \(f\) , \({f'}\) and \({f''}\) .
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[N/A]Directly related questions
- 18M.2.sl.TZ2.9e: Find the total distance travelled by P.
- 18M.2.sl.TZ2.9d: Find the acceleration of P when it changes direction.
- 18M.2.sl.TZ2.9c: Write down the number of times that the acceleration of P is 0 m s−2 .
- 18M.2.sl.TZ2.9b: Find the maximum speed of P.
- 18M.2.sl.TZ2.9a: Find the initial velocity of P.
- 18M.1.sl.TZ1.8c: Find the values of x for which the graph of f is concave-down.
- 18M.1.sl.TZ1.8b: The graph of f has a point of inflexion at x = p. Find p.
- 18M.1.sl.TZ1.8a: Find f (x).
- 17M.1.sl.TZ1.6b: Determine the concavity of the graph of \(f\) when \(4 < x < 5\) and justify your answer.
- 17M.1.sl.TZ1.6a.ii: Find the equation of the normal to the curve of \(f\) at P.
- 17M.1.sl.TZ1.6a.i: Write down the gradient of the curve of \(f\) at P.
- 08M.2.sl.TZ1.5a: On the grid below, sketch a graph of \(y = f''(x)\) , clearly indicating the x-intercept.
- 10M.1.sl.TZ2.7a: Write down the x-intercepts of the graph of the derivative function, \(f'\) .
- 10M.1.sl.TZ2.7c: At point D on the graph of f , the x-coordinate is \( - 0.5\). Explain why \(f''(x) < 0\) at D.
- 10M.1.sl.TZ2.7b: Write down all values of x for which \(f'(x)\) is positive.
- 09N.1.sl.TZ0.9c: Describe the behaviour of the graph of \(f\) for large \(|x|\) .
- 09M.1.sl.TZ1.4b: Write down the value of t when the velocity is greatest.
- 09M.1.sl.TZ1.4a: Complete the following table by noting which graph A, B or C corresponds to each function.
- 10N.2.sl.TZ0.7a: There are two points of inflexion on the graph of f . Write down the x-coordinates of these points.
- 10N.2.sl.TZ0.7b: Let \(g(x) = f''(x)\) . Explain why the graph of g has no points of inflexion.
- 13M.1.sl.TZ1.10d: There is a point of inflexion on the graph of \(f\) at \(x = \sqrt[4]{3}\)...
- 14M.1.sl.TZ2.6a: On the following axes, sketch the graph of \(y = f'(x)\).
- 14M.1.sl.TZ2.6b: Write down the following in order from least to greatest:...
- 15M.1.sl.TZ1.9b: The graph of \(f\) has a point of inflexion when \(x = 1\). Show that \(k = 3\).
- 15M.2.sl.TZ1.10b: Write down \(f'(2)\).
- 15N.1.sl.TZ0.10a: Explain why the graph of \(f\) has a local minimum when \(x = 5\).
- 15N.1.sl.TZ0.10b: Find the set of values of \(x\) for which the graph of \(f\) is concave down.
