Situations

Question 1

Implicit Differentiation

Answer 1

Make the derivative equal to “y”
make y a function of x [y=y(x)],
differentiate everything (make y’(x)= dy/dx)
Solve for dy/dx
* if after differentiating, you get a “y”, then swap it out for the original function itself

Question 2

Related Rates

Answer 2

*Draw a picture w/ variables and constants
*write down given info and what you need to find
*write equation that relates variables
*differentiate with respect to t. ex: s=s(t); a=a(t)
*find out all values other than the focused one
solve for d”x”/dt

Question 3

linearization and differentials

Answer 3

find out about it