DP Mathematics HL Questionbank

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Directly related questions

• 18M.2.hl.TZ2.11c: Find the coordinates of the three points on C, nearest the origin, where the tangent is parallel...
• 18M.2.hl.TZ2.11b.ii: Given that the gradients of the tangents to C at P and Q are m1 and m2 respectively, show that m1...
• 18M.2.hl.TZ2.11b.i: Find the coordinates of P and Q.
• 18M.2.hl.TZ1.9c: The normal at P cuts the curve again at the point Q. Find the \(x\)-coordinate of Q.
• 18M.2.hl.TZ1.9b: Find the equation of the normal to the curve at the point P.
• 16M.2.hl.TZ2.7b: Find the value of \(k\).
• 16M.1.hl.TZ2.4: The function \(f\) is defined as \(f(x) = a{x^2} + bx + c\) where...
• 16M.2.hl.TZ1.12d: Find the coordinates of the second point at which the normal found in part (c) intersects \(C\).
• 16M.2.hl.TZ1.12c: Find the equation of the normal to \(C\) at the point A.
• 16M.2.hl.TZ1.12a: Find the value of \(a\).
• 16M.1.hl.TZ1.10: Find the \(x\)-coordinates of all the points on the curve...
• 16N.1.hl.TZ0.11h: Find the value \(\kappa \) for \(x = \frac{\pi }{2}\) and comment on its meaning with respect to...
• 16N.1.hl.TZ0.9b: Find the equations of the tangents to this curve at the points where the curve intersects the...
• 16N.1.hl.TZ0.11g: Find the value of the curvature of the graph of \(f\) at the local maximum point.
• 17N.2.hl.TZ0.10c: Find the coordinates of the point on the graph of \(f\) where the normal to the graph is parallel...
• 17N.2.hl.TZ0.10a.ii: Determine the values of \(x\) for which \(f(x)\) is a decreasing function.
• 17N.2.hl.TZ0.10a.i: Show that the \(x\)-coordinate of the minimum point on the curve \(y = f(x)\) satisfies the...
• 17N.1.hl.TZ0.11d: Show that, for \(n > 1\), the equation of the tangent to the curve \(y = {f_n}(x)\) at...
• 17N.1.hl.TZ0.11c: Hence or otherwise, find an expression for the derivative of \({f_n}(x)\) with respect to \(x\).
• 17M.2.hl.TZ2.2a: Find the equation of the normal to the curve at the point \(\left( {1,{\text{ }}\sqrt 3 } \right)\).
• 17M.1.hl.TZ2.9c: By finding \(g'(x)\) explain why \(g\) is an increasing function.
• 17M.2.hl.TZ1.2b: Determine the equation of the tangent to \(C\) at the point...
• 12M.2.hl.TZ1.1: Given that the graph of \(y = {x^3} - 6{x^2} + kx - 4\) has exactly one point at which...
• 12M.1.hl.TZ2.13a: Using the definition of a derivative as...
• 12M.2.hl.TZ2.6b: Write down the gradient of the curve at x = 1 .
• 15N.1.hl.TZ0.7a: Show that there is no point where the tangent to the curve is horizontal.
• 15N.1.hl.TZ0.7b: Find the coordinates of the points where the tangent to the curve is vertical.