We got to add EVEN MORE notes to our note sheet this week. We didn't really learn any new groundbreaking truths about derivatives, but instead reinforced ideas that we had previously learned.
We practiced with the inverse of trig functions.
sin^-1= 1/root(1-x^2) or -1/root(1-x^2) for cos^-1
tan^-1= 1/(1+x^2) or -1/(1+x^2) for cot^-1
sec^-1= 1/((absolute value x )root(1-x^2)) or 1/((absolute value x )root(1-x^2)) for csc^-1
These work the same as any other one of the trig ones we learned previously. Any time you see the chain rule with one of those equations it works the exactly the same. Also we learned some pretty nifty stuff with e^x and also any number^x. I'll list them below for you.
e^x = e^x
a^x = a^x (ln a)
ln x = 1/x
These are pretty self explanatory. They work exactly the same in the previous things we learned with derivatives. Chain rule? Yup, works for that. The rest of the week we just reviewed, which was good because I needed a little refresher. Do you ever feel not fresh? Like you need to take a shower or something? Thats how I felt at the start of this week. It also makes me nervous for the Test. Oh well, I got them quiz masteries in my back pocket.
We practiced with the inverse of trig functions.
sin^-1= 1/root(1-x^2) or -1/root(1-x^2) for cos^-1
tan^-1= 1/(1+x^2) or -1/(1+x^2) for cot^-1
sec^-1= 1/((absolute value x )root(1-x^2)) or 1/((absolute value x )root(1-x^2)) for csc^-1
These work the same as any other one of the trig ones we learned previously. Any time you see the chain rule with one of those equations it works the exactly the same. Also we learned some pretty nifty stuff with e^x and also any number^x. I'll list them below for you.
e^x = e^x
a^x = a^x (ln a)
ln x = 1/x
These are pretty self explanatory. They work exactly the same in the previous things we learned with derivatives. Chain rule? Yup, works for that. The rest of the week we just reviewed, which was good because I needed a little refresher. Do you ever feel not fresh? Like you need to take a shower or something? Thats how I felt at the start of this week. It also makes me nervous for the Test. Oh well, I got them quiz masteries in my back pocket.