DP Mathematics SL Questionbank

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Directly related questions

• 10N.1.sl.TZ0.6: The graph of the function \(y = f(x)\) passes through the point...
• 10M.1.sl.TZ2.8a: Use the second derivative to justify that B is a maximum.
• 10M.1.sl.TZ2.8b: Given that \(f'(x) = \frac{3}{2}{x^2} - x + p\) , show that \(p = - 4\) .
• 10M.1.sl.TZ2.8c: Find \(f(x)\) .
• 10M.2.sl.TZ1.6: The acceleration,  \(a{\text{ m}}{{\text{s}}^{ - 2}}\), of a particle at time t seconds is given...
• 11N.1.sl.TZ0.4: Let \(f'(x) = 3{x^2} + 2\) . Given that \(f(2) = 5\) , find \(f(x)\) .
• 11M.2.sl.TZ2.7: A gradient function is given by \(\frac{{{\rm{d}}y}}{{{\rm{d}}x}} = 10{{\rm{e}}^{2x}} - 5\) ....
• 13M.1.sl.TZ1.6: Let \(f(x) = \int {\frac{{12}}{{2x - 5}}} {\rm{d}}x\) , \(x > \frac{5}{2}\) . The graph of...
• 13M.1.sl.TZ2.6: A rocket moving in a straight line has velocity \(v\) km s–1 and displacement \(s\) km at time...
• 14M.1.sl.TZ2.5: The graph of a function h passes through the point \(\left( {\frac{\pi }{{12}}, 5}...
• 14N.1.sl.TZ0.9b: The \(y\)-intercept of the graph is at (\(0,6\)). Find an expression for \(f(x)\). The graph of...
• 15N.1.sl.TZ0.3: Let \(f'(x) = 6{x^2} - 5\). Given that \(f(2) =  - 3\), find \(f(x)\).