AQA Certificate Level 2 Further Mathematics: Calculus

4.1 Know that the gradient function dy/dx gives the gradient of the curve and measures the rate of
change of y with respect to x

4.2 Know that the gradient of a function is the gradient of the tangent at that point

4.3 Differentiation of kxⁿ where n is an integer, and the sum of such functions

4.4 The equation of a tangent and normal at any point on a curve

4.5 Increasing and decreasing functions

4.6 Understand and use the notation for the second derivative

4.7 Use of differentiation to find maxima and minima points on a curve

4.8 Using calculus to find maxima and minima in simple problems

4.9 Sketch/ interpret a curve with known maximum and minimum points