Derivatives
- Differentiate a function from first principle
Differentiation of a function
- Find derivative of a polynomial functions
- Find the derivative of product of polynomials products formula to differentiate product of a polynomial functions
- Find the derivative of a quotient
- Differentiate trigonometric functions and their inverse
- Use computer packages to differentiate polynomial and trigonometric functions
- Find the derivative of logarithmic function
- Differentiate an exponential functions
Application of Differentiation
- Solve problems involving rates of change
- Sketch a graphs
- Solve real life problems involving maximum and minimum values
Taylor's series and maclaurin series's
- Derive Taylor's theorem
- Deduce Maclaurin’ theorem as a special case of Taylor theorem
- Apply Taylor’s and Maclaurin's series to expand expression
Introduction to partial derivatives
- Identify functions of two variables
- Find partial derivatives of functions of two variables