Sections 3.3 and 3.4

Main Points: Section 3.3 discusses the chain rule when taking the derivative of a more comlex function The chain rule is: dy/dt=(dy/dt)(dz/dt). The book also states that the derivative of (f(g(t))) = f ' (g(t)) * g ' (t). The derivative of e^kt = ke^kt. In section 3.4, the product rule and quotient rule are given. The product rule, in simpler terms than the book, is u'v + uv' and the quotient rule is (u'v - uv')/ v^2. These rules help to solve for derivatives of more than one function.

Challenges: Possible challenges in these sections could include confusion on the introduction of the z term in section 3.3. At first glance, it is a bit different to substitute a one variable term for an entire function, however, it just takes getting used to. The quotient rule could also cause a problem because if not used in the correct order of u'v - uv' in the numerator, the answer found will be wrong.

Reflections: The e formula in section 3.3 is very helpful in solving problems concerning interest and money matters. Also, the chain rule makes solving more complicated derivatives much simpler. My calculus teacher focused a lot on the product and quotient rule last year, so this reading assignment was pretty easy for me! She even made a song for the rules!