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SS2 Further Mathematics

Differentiation (ii)

Overview

Find limits of a function at a given point Differentiation from first principle Differentiating polynomials Differentiation of special functions like sin x, cos ax, ax Use rules of differentiation apply differentiation.

What you'll learn
  • Limits of a function
  • Differentiation from first principle
  • Differentiation of polynomials
  • Differentiation of transcendental functions like sin x, eax, log 3x
  • Rules of differentiation
  • - Product rule
  • - Quotient rule
  • - Function of function
  • Application of differentiation to
  • - Rate of change
  • - Gradient
  • - Maximum and minimum values
  • - Equation of motion.
  • Higher derivatives
  • Differentiation of implicit function