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Math 124 – Week 6
                            Math 124 main page    Week 7 outline

What Where Link
Reading Text – 3.5, 3.6, 3.7.
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: the chain rule, implicit derivatives and higher order derivatives.
  • The chain rule is one of the most powerful rules for calculating derivatives and this needs to be mastered thoroughly.
  • 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".
  • The homework contains further challenging applications of the derivative. One of the homework problems will introduce an important fact about parametric motion: tangent lines to parametrized curves can be computed using horizontal and vertical velocities.
                            Math 124 main page    Week 7 outline
 

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