This week was mostly a review chapter two. In this chapter we learned many things we learned how to find a derivative the long way and the short cut way, to find out if something is continuous and differentiable, average velocity, the product rule and the quotient rule, how to find the equation of a tangent line, how to find the slope of a normal line, the chain rule, implicit derivative and explicit derivative, second derivative with implicit derivatives, and how to solve related rate problems. The one thing with this review that I’m still having trouble with is how to solve related rate problems.
The steps to solving these problems are:
- identify all given quantites and quantities to be determined. Make a sketch and lable the quantities.
- write an equation involving the variables whose rates of change either are given or are to be determined
- using the chain rule, implicitly differentiate both sides of the equation with respect to time t.
- after completing step 3, substitute into the resulting equation all known values for the variables and their rates of change. Then solve for the required rate of change.
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