Question A curve has equation y=f(x). The point P with coordinates (9,0) lies on the curve. Given that , a. Find f(x). b. Find the x-coordinates of two points on y=f(x) where the gradient of the curve is equal to 10. Solution a. We are given; We are given coordinates of a point on the […]
Question Given , find the value of when x=3. Solution 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 is: Rule for differentiation is […]
Question , a. Show that Where A and B are constants to be found. b. Find Given that the point (-3,10) lies on the curve with equation y=f(x), c. Find f(x). Solution a. We are given; Therefore; b. We are given; We are required to find . Second derivative is the derivative of the derivative. […]
Question The curve C has equation , a. Find , giving each term in its simplest form. The point P on C has x-coordinate equal to . b. Find the equation of the tangent to C at P, giving your answer in the form y = ax + b, where a and b are constants. The […]