DP Mathematics SL Questionbank

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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.