3.1 Definition of Derivatives, Differentiation by SGLee - HSKim, YJLim
1-7. Differentiate each of the following functions using Definition 3.1.1, if it exists.
8. Is the function differentiable at ?
Hence is differentiable at and .
9. Discuss a geometric and physical interpretation of .
1. Geometric interpretation: The slope of the tangent to the curve at a point is equal to the derivative
derivative of the function at that point.
2. Physical interpretation: The average velocity is the ratio between distance travelled () and the time elapsed ().