Question The curve C has equation y = (x +1)(x + 3)2 a. Sketch C, showing the coordinates of the points at which C meets the axes. b. Show that . The point A, with x-coordinate -5, lies on C. c. Find the equation of the tangent to C at A, giving your answer in the […]
Question Given that , , find, in their simplest form, a. b. . Solution a. We are given; We are required to find . Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve with respect to is: Therefore; Rule for differentiation is of is: Rule for differentiation is of […]
Question The curve C has equation , x>0 a. Find b. Show that the point P(4,−8) lies on C. c. Find an equation of the normal to C at the point P, giving your answer in the form ax + by + c = 0 , where a, b and c are integers. Solution a. […]