# Introduction to derivatives

Learning objectives

• Interpret and use a derivative as a multiplier with units
• Use the multiplier equation $\Delta y \approx (dy/dx) \Delta x$ for $y=f(x)$ and  small $\Delta x$
• Make numerical approximations of derivatives
• Use a derivative in applied contexts (local linear approximation)
• Consult the main points of the lesson

Before class

• Read Hughes-Hallett 2.1, 2.2, 2.3(skip relative rate of change).
• Ponder problems 2.1. 1, 2, 4, 6, 8, 24; 2.2 3, 4; 2.3. 4, 6 10, 18, 37-41.

In class