DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ1.9b.ii: The coordinates of B can be expressed in the form...
• 18M.1.hl.TZ1.9b.i: Show that there is exactly one point of inflexion, B, on the graph of \(y = f\left( x \right)\).
• 16M.2.hl.TZ1.11b: For the curve \(y = f(x)\). (i)     Find the coordinates of both local minimum points. (ii)    ...
• 16N.1.hl.TZ0.11e: Sketch the graph of \(f\), clearly indicating the position of the local maximum point, the point...
• 16N.1.hl.TZ0.11d: Find the \(x\)-coordinate of the point of inflexion of the graph of \(f\).
• 12M.1.hl.TZ1.12b: Show that the curve \(y = f(x)\) has one point of inflexion, and find its coordinates.
• 12N.1.hl.TZ0.4b: Given that the graph of the function has exactly one point of inflexion, find its coordinates.
• 08M.1.hl.TZ1.12: The function f is defined by \(f(x) = x{{\text{e}}^{2x}}\) . It can be shown that...
• 08M.2.hl.TZ1.13: A family of cubic functions is defined as...
• 08M.2.hl.TZ2.6: Consider the curve with equation \(f(x) = {{\text{e}}^{ - 2{x^2}}}{\text{ for }}x < 0\)...
• 08N.2.hl.TZ0.12: The function f is defined by...
• SPNone.1.hl.TZ0.5c: John states that, because \(f''(0) = 0\) , the graph of f has a point of inflexion at the point...
• SPNone.2.hl.TZ0.13c: Find the x-coordinates of the two points of inflexion on the graph of f .
• 10M.1.hl.TZ1.11: Consider \(f(x) = \frac{{{x^2} - 5x + 4}}{{{x^2} + 5x + 4}}\). (a)     Find the equations of all...
• 10N.2.hl.TZ0.13: Let \(f(x) = \frac{{a + b{{\text{e}}^x}}}{{a{{\text{e}}^x} + b}}\), where \(0 < b <...
• 11M.1.hl.TZ1.12b: Show that there is a point of inflexion on the graph and determine its coordinates.
• 11M.2.hl.TZ1.2b: Show that the point of inflexion of the graph \(y = f (x)\) lies on this straight line.  
• 14M.1.hl.TZ1.11c: Find the coordinates of C, the point of inflexion on the curve.
• 14M.1.hl.TZ2.13d: Find the \(x\)-coordinates of the other two points of inflexion.
• 14M.1.hl.TZ1.11b: Find the coordinates of B, at which the curve reaches its maximum value.
• 14M.1.hl.TZ2.13b: Hence find the \(x\)-coordinates of the points where the gradient of the graph of \(f\) is zero.
• 15M.1.hl.TZ1.11d: Find the coordinates of any points of inflexion on the graph of \(y(x)\). Justify whether any...
• 15M.1.hl.TZ2.4b: There is a point of inflexion, \(P\), on the curve \(y = f(x)\). Find the coordinates of \(P\).