Lesson

6.1 DIFFERENTIAL CALCULUS




After completing this section, you should be able to:

  • find limit at constant values: \( \displaystyle \lim_{x \to 2}5 \)
  • find limit at infinity: \( \displaystyle \lim_{x \to \infty}f(x) \)
  • perform the first principles: \( f'(x) = \displaystyle \lim_{h \to 0} \dfrac{f(x+h) – f(x)}{h} \)
  • perform the first principles at a given value: \( f'(a) = \displaystyle \lim_{h \to 0} \dfrac{f(a+h) – f(a)}{h} \)
  • apply basic differentiation rules
  • apply chain rule
  • apply product rule
  • apply quotient rule
  • find derivatives of exponential functions
  • find derivatives of logarithmic functions
  • find derivatives of trigonometric functions
  • find higher derivatives