The three topics we covered this week have names that are incredibly impressive sounding. Implicit differentiation, implicit higher order derivatives, and inverse trig derivatives. When we get down to business, and pretty much ignore the complex names that these concepts have, we are left with more ways to find the derivatives of functions.
Implicit differentiation is a special case of the chain rule. I would be lying if I said I fully understood what this concept is. All I know is that you are given a problem with two variables. One variable is defined as the function probably. Adding a higher order to implicit differentiation is just an exercise in remembering all of the old rules, usually the second derivative needs the quotient or product rule to find it.
The final thing learned this week is a new concept entirely. We took a quiz to separate implicit differentiation and our new concept, inverse trig derivatives. We walked down memory lane in order remember inverse functions. As is always with trig functions, there is not a lot to them other than memorizing how they interact. We basically unloaded a bunch of new formulas into our mathematical tool belt. I say that now, before I have even attempted the homework involved with these, we'll see how it goes.
Implicit differentiation is a special case of the chain rule. I would be lying if I said I fully understood what this concept is. All I know is that you are given a problem with two variables. One variable is defined as the function probably. Adding a higher order to implicit differentiation is just an exercise in remembering all of the old rules, usually the second derivative needs the quotient or product rule to find it.
The final thing learned this week is a new concept entirely. We took a quiz to separate implicit differentiation and our new concept, inverse trig derivatives. We walked down memory lane in order remember inverse functions. As is always with trig functions, there is not a lot to them other than memorizing how they interact. We basically unloaded a bunch of new formulas into our mathematical tool belt. I say that now, before I have even attempted the homework involved with these, we'll see how it goes.