DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.6a.ii: Find \(g'\left( x \right)\).
• 18M.1.hl.TZ2.6a.i: Find \(f'\left( x \right)\).
• 18M.1.hl.TZ1.7a: Find \(\frac{{{\text{d}}y}}{{{\text{d}}x}}\).
• 18M.1.hl.TZ1.2b: Hence find the values of θ for which \(\frac{{{\text{d}}y}}{{{\text{d}}\theta }} = 2y\).
• 18M.1.hl.TZ1.2a: Find \(\frac{{{\text{d}}y}}{{{\text{d}}\theta }}\)
• 16M.2.hl.TZ2.12c: (i)     Show that \(t'(x) = \frac{{{{[f(x)]}^2} - {{[g(x)]}^2}}}{{{{[f(x)]}^2}}}\) for...
• 16M.1.hl.TZ2.11b: (i)     Given that \(\frac{{{\text{d}}V}}{{{\text{d}}h}} = \pi {(3\cos 2h + 4)^2}\), find an...
• 16M.2.hl.TZ1.12e: Given that \(v = {y^3},{\text{ }}y > 0\), find \(\frac{{{\text{d}}v}}{{{\text{d}}x}}\) at...
• 16M.1.hl.TZ1.9: A curve is given by the equation \(y = \sin (\pi \cos x)\). Find the coordinates of all the...
• 16N.2.hl.TZ0.6: An earth satellite moves in a path that can be described by the curve...
• 16N.2.hl.TZ0.10c: Show that \(f'(x) =  - \frac{{3{{\text{e}}^x}}}{{{{(2{{\text{e}}^x} - 1)}^2}}}\).
• 17M.2.hl.TZ1.12g.ii: Hence, show that there are no solutions to \(({g^{ - 1}})'(x) = 0\).
• 17M.2.hl.TZ1.12g.i: Hence, show that there are no solutions to \(g'(x) = 0\);
• 17M.2.hl.TZ1.12f: Find \(g'(x)\).
• 17M.2.hl.TZ1.8b: Calculate \(\frac{{{\text{d}}\theta }}{{{\text{d}}t}}\) when \(\theta = \frac{\pi }{3}\).
• 12N.1.hl.TZ0.8a: Find the gradient of the tangent to the curve at the point \((\pi ,{\text{ }}\pi )\) .
• 08N.2.hl.TZ0.8: If \(y = \ln \left( {\frac{1}{3}(1 + {{\text{e}}^{ - 2x}})} \right)\), show that...
• 09M.2.hl.TZ2.3: (a)     Differentiate \(f(x) = \arcsin x + 2\sqrt {1 - {x^2}} \) , \(x \in [ - 1, 1]\) . (b)    ...
• 14M.1.hl.TZ1.9: A curve has equation \(\arctan {x^2} + \arctan {y^2} = \frac{\pi }{4}\). (a)     Find...
• 14M.2.hl.TZ2.12: Engineers need to lay pipes to connect two cities A and B that are separated by a river of width...
• 15M.1.hl.TZ1.11a: Find \(\frac{{{\text{d}}y}}{{{\text{d}}x}}\).
• 15N.1.hl.TZ0.12b: Find \(f'(x)\).
• 15N.1.hl.TZ0.4a: Find \(\frac{{{\text{d}}y}}{{{\text{d}}x}}\).
• 15N.2.hl.TZ0.13a: Find \(f''(x)\).
• 14N.1.hl.TZ0.7b: \(h'(2)\).