Mathematics 133 -- Intensive Calculus for Science 1

Quiz 7

October 25, 2005

The seventh regular quiz of the semester will be given in class on Friday, October 27. It will cover the material from sections 3.2, 3.3, and 3.4 from this week's problem set. Calculators allowed on this quiz. The specific topics to be covered will be:

• New ``shortcut rules'' for computing derivatives:
  1. The product rule: d/dx(f(x)g(x)) = f(x)g'(x) + g(x)f'(x)
  2. The quotient rule: d/dx(f(x)/g(x)) = (g(x)f'(x) - f(x)g'(x))/(g(x))²
  3. 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
  1. The derivative power rule: d/dx(xⁿ) = n x^n-1.
  2. The derivative sum rule: d/dx(f(x) + g(x)) = f'(x) + g'(x)
  3. The derivative constant multiple rule: d/dx(cf(x)) = cf'(x)
  4. The derivative exponential rule: d/dx(a^x) = a^x 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