Differentiation (2020) Archives — O/A Level Solutions

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2020 | Feb-Mar | (P1-9709/12) | Q#10

Question The gradient of a curve at the point (x, y) is given by . The curve  has a stationary point at (a, 14), where a is a positive constant. a)Find the value of . b)Determine the nature of the stationary point. c)Find the equation of the curve. Solution a) We are given that gradient […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2020 | Feb-Mar | (P1-9709/12) | Q#4

Question A curve has equation y = x2 − 2x − 3. A point is moving along the curve in such a  way that at P the y-coordinate is increasing at 4 units per second and the x- coordinate is increasing at 6 units per second.  Find the x-coordinate of P. Solution We are required […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2020 | Feb-Mar | (P1-9709/12) | Q#1

Question The function f is defined by  for . Determine whether f is an increasing function, a decreasing function or neither. Solution We are given function; We are required to find whether is an increasing function, decreasing function or  neither. To test whether a function is increasing or decreasing at a particular point  , we […]