What	Where	Link
Reading	Text – 10.2 (Tangents), 3.4, 3.5, 3.6.
Worksheet	Website	Hiker.pdf and Solutions.pdf
Homework	Website	week6probs.pdf and Answers

Student Guide:

Week 6 is devoted to developing further basic derivative topics: more chain rule practice, implicit derivatives, logarithmic derivatives and more on the calculus of parametrized motion.

• The chain rule is one of the most powerful rules for calculating derivatives and this needs to be mastered. More problems are assigned requiring the chain rule.
• We are able to calculate tangent lines to graphs of functions y=f(x) using the derivative f'(x). However, what if the curve we are interested in is not the graph of a function? It still makes sense to discuss tangent lines to curves which are not the graphs of functions, like a circle, or ellipse, etc. How do we proceed? The technique required is called "implicit differentiation".
• Derivatives of logarithmic functions and inverse trig functions are covered.
• The homework contains further challenging applications of the derivative.
• The reading in section 10.2 on "Tangents" applies calculus to parametrized motion.