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