- f(x)=|x|
- cusp
- jump
- asymptote
(anywhere with a corner or where the limit does not exist)
2. Implicit differentiation:
Take a derivative of a function with regards to a variable that may not be in the function or is not the only variable in the function. Every time you find the derivative of a piece, you multiply by the derivative of the variable over the derivative of the variable you are finding the derivative with regards to. Example:
3. The most important thing to remember in a related rate problem is to always multiply by the correct d(variable)/dt so that you can correctly plug in given information to find the correct answer.
Scholarly work, however I did notice that you said "with with" on question 2. Other than that, I liked how you had an example on number 2. It tied in nicely to your explanation.
ReplyDeleteI like your example you used for the second question. It definitely explains what you were discussing. You pictures neatly showed which cases derivatives dont exist.
ReplyDeleteFor number 1, you could specify which of the types the pictures represent in case someone is not familiar with which is which.
ReplyDeleteFor #2 your work makes sense but your explanation blows my mind.
ReplyDelete