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.
1. 
Calculus-Sec-3-1-Solution
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.
1.
2. 
3. 
4. 
5. 
6. 
7. 
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 (
).
