Differentiation (CIE-P1-2002) Archives — O/A Level Solutions

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2002 | Oct-Nov | (P1-9709/01) | Q#10

Question The diagram shows the points  and  on the curve . The line BC is the normal to the curve at B, and C lies on the x-axis. Lines AD and BE are perpendicular to the x-axis. i.       Find the equation of the normal BC.    ii.       Find the area of the shaded region. Solution i.   To find the equation […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2002 | Oct-Nov | (P1-9709/01) | Q#8

Question A curve has equation  , where k is a constant. i.       Write down an expression for .    ii.       Find the x-coordinates of the two stationary points on the curve.   iii.       Hence find the two values of  for which the curve has a stationary point on the x-axis. Solution i.   Rule for differentiation of  is: In the given case; […]