Specific Objectives
By the end of this topic, the learner should be able to:
(a) Find average rates of change and instantaneous rates of change
(b) Find the gradient of a curve at a point using tangent
(c) Relate the delta notation to rates of change;
(d) Find the gradient function of a function of the form (n is a positive integer)
(e) Define
(i) Derivative of a function
(ii) Derived function of a polynomial
(iii) Differentiation
(f) Determine the derivative of a polynomial
(g) Find equations of tangents and normals to the curves
(h) Sketch a curve
(i) Apply differentiation in calculating distance, velocity and acceleration
(j) Apply differentiation in finding maxima and minima of a function.