March 19
section covered in text:
2.8. The Derivative as a Function
objective: to
understand how to find the function f'(x)
to learn the different notations of the derivative
of a function
to be able to tell where a function is not differentiable
key ideas and/or vocabulary
-
derivative of f as a function:
-
differentiation operators, differentiation, differentiable
at a point x = a
-
Theorem 4. proof and converse
-
second derivative, acceleration, nth derivative
solved problems - using key ideas
-
#1. sketching f' from f
-
#3. matching f with f'
-
#27. constructing a table of values for U'(t)
-
#18. constructing the derivatice of f(x) =
x^3
-
#20. finding derivative using the definition
-
Example 5. differentiability of |a|
-
#29. finding points at which f is not differentiable
-
#31. using graphing calculator to understand
nondifferentiable function
-
#38. finding second derivative
-
#40. velocity and acceleration as derivatives
group work
none
announcements
Homework.#2,6,10,22,28,30,46
|
QUESTION OF THE DAY
|
|
At what rate is the area of a circle changing
with respect to the radius when the radius is 3 centimeters?
|
|
SOLUTION
|
SOLUTION.
|