Derivative review

Learning objectives

Refresh knowledge of derivatives
Interpret derivatives as multipliers: $\Delta z \approx (\hbox{Derivative}) \times \Delta x$ for $z = f(x)$ and $\Delta x$ small
Review algebraic calculation of derivatives: $e^{kx}$ , $a^x$ , $x^r$ , $\ln x$ , $\sin x$ , $\cos x$ , $\tan x$ , $\tan^{-1} x$ , product rule, chain rule

Resources

Textbook: 2.2-2.4, 3.1-3.6.
Suggested problems: 2.2#13,15,31; 2.3#5,27; 2.4#1,3; 3.1#7,15,23; 3.2#5,31; 3.3#7,31; 3.4#9,11; 3.5#5,7,17,19,57; 3.6#1,5.
Derivatives are multipliers, section 1
How to think about derivatives
Derivative formulas

In Class

Derivative review problems