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: $h'(2)$.