DP Mathematical Studies Questionbank

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Directly related questions

• 18M.2.sl.TZ2.6f: Given that y = 2x3 − 9x2 + 12x + 2 = k has three solutions, find the possible values of k.
• 18M.2.sl.TZ2.6e: Show that the stationary points of the curve are at x = 1 and x = 2.
• 18M.2.sl.TZ2.6d: Find \(\frac{{{\text{dy}}}}{{{\text{dx}}}}\).
• 18M.2.sl.TZ2.6c: Find the value of y when x = 1 .
• 18M.2.sl.TZ2.6b: A teacher asks her students to make some observations about the curve. Three students...
• 18M.2.sl.TZ2.6a: Sketch the curve for −1 < x < 3 and −2 < y < 12.
• 18M.1.sl.TZ2.14c: Find the x-coordinate of the point at which the normal to the graph of f has...
• 18M.1.sl.TZ2.14b: Find the gradient of the graph of f at \(x =  - \frac{1}{2}\).
• 18M.1.sl.TZ2.14a: Find f'(x)
• 18M.2.sl.TZ1.4e: Sketch the graph of y = f (x) for 0 < x ≤ 6 and −30 ≤ y ≤ 60.Clearly indicate the minimum...
• 18M.2.sl.TZ1.4d: Write down the two values of x which satisfy f (x) = 0.
• 18M.2.sl.TZ1.4b: Using your value of k , find f ′(x).
• 16M.1.sl.TZ2.15b: There are two points at which the gradient of the graph of \(f\) is \(11\). Find...
• 16M.1.sl.TZ2.15a: Consider the function \(f(x) = {x^3} - 3{x^2} + 2x + 2\) . Part of the graph of \(f\) is shown...
• 10M.2.sl.TZ1.3h: There is a second point, Q, on the curve at which the tangent to f (x) is parallel to...
• 09M.1.sl.TZ1.15c, i: Find the x coordinate of the point at which the tangent must be drawn.
• 11M.2.sl.TZ1.3h: There is a second point on the graph of \(f\) at which the tangent is parallel to the tangent at...
• 09M.1.sl.TZ2.11c: Let L be the line with equation y = 3x + 2. Let P be a point on the curve of f. At P, the...
• 11M.1.sl.TZ2.11c: Calculate the value of \(x\) for which the gradients of the two graphs are the same.
• 13M.1.sl.TZ2.11b: The gradient of the curve at point A is 35. Find the x-coordinate of point A.
• 07N.2.sl.TZ0.5d: Find the coordinates of the point where the tangent to P is perpendicular to the line L.