Mathematics 133 -- Intensive Calculus for Science 1
Quiz 7
November 7, 2001
The seventh regular quiz of the semester will be given in class on
Friday, November 9. It will cover the material from sections
3.3, 3.4, and 3.5 from this week's problem set. No
calculators on this quiz. The specific topics
to be covered will be:
- New ``shortcut rules'' for computing derivatives:
- The product rule: d/dx(f(x)g(x)) = f(x)g'(x) + g(x)f'(x)
- The quotient rule:
d/dx(f(x)/g(x)) = (g(x)f'(x) - f(x)g'(x))/(g(x))2
- The chain rule: d/dx(f(g(x)) = f'(g(x)) g'(x)
- You should be able to use these, plus the other shortcut rules
we have learned
- The derivative power rule: d/dx(xn) = n xn-1.
- The derivative sum rule: d/dx(f(x) + g(x)) = f'(x) + g'(x)
- The derivative constant multiple rule: d/dx(cf(x)) = cf'(x)
- The derivative exponential rule: d/dx(ax) = ax ln(a)
singly and in combination.
On the quiz, there will be four or five
questions similar to problems from the assignment.
Good Review Problems
Review problems for Chapter 3 (page 159): 1-52, any of these not
involving ln(x) or tan-1(x) (arctan(x)), which we will discuss on
Wednesday, but which will not be on the quiz.