Math 221 Interactive Lecture Notes

This page contains lecture notes for Math 221, organized by section.

Chapter 2: Functions, Limits, and the Derivative

\(f\circ g\)
2.2
\[\lim_{x\rightarrow a} f(x)\]
2.4
\[\lim_{x\rightarrow a} f(x) = f(a)\]
2.5
\[\lim_{h\rightarrow 0} \dfrac{f(x + h) - f(x)}{h}\]
2.6

Chapter 3: Differentation

\(\dfrac{d}{dx}x^n = nx^{n-1}\)
3.1
\(f(x)g'(x) + g(x)f'(x)\)
3.2
\(g'(f(x))\cdot f'(x)\)
3.3
\(\dfrac{pf'(p)}{f(p)}\)
3.4
\(\dfrac{d^ny}{dx^n}\)
3.5
\(\dfrac{d}{dx}[\sqrt{xy}]\)
3.6

Chapter 4: Applications of the Derivative

\(f'(x) > 0\)
4.1
\(f(x) \leq f(c)\)
4.4
\(II\)
4.5