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krypton
Group Title
inverse and inverse trignometric functions
find d/dx(arctan^2(sqrt(x))
 2 years ago
 2 years ago
krypton Group Title
inverse and inverse trignometric functions find d/dx(arctan^2(sqrt(x))
 2 years ago
 2 years ago

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hsmt Group TitleBest ResponseYou've already chosen the best response.1
hi krypton.. you still there? I think i might be able to help if you are
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
consider the derivative of arctan^2(u) where u=sqrt x and use the chain rule...
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
sorry. let's start with the derivative of (tan1u)^2. what is the derivative of this little beastie. lol there we go...
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
what is the derivative of (f(x))^2?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
it would be something like 2(f(x))times f prime of x
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
in this case, f(u)=tan1u, where u=sqrt of x. does this make sense?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
questions are good here. the more you ask, the more i can help... :)
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
so what is the derivative of tan1u?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
you can give me your best guess if you like
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
hmm actually i wasnt in the class when the topic was taught, but i thinkis =1/srt 1x^2?
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
sorry 1/1+x^2
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
that is totally correct. :) now replace the x with u so that we can use the chain rule where u=1/sqrtx.
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
so thats the answer?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
no, we have a power of tan1. so the answer is 2(tan1(sqrtx))(1/(1+x))1/2sqrtx
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
is that making sense to you?
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
so what will be my final answer?
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
can u help me with one other questionÉ
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
if i can, i would be happy to
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
find \[find d/dx (\sqrt{1x ^{2}}+1/2\cos ^{1}(x) and verify whether or \not this is equal \to (2x+1)d/dx \sin ^{1}(x)\]
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
ok. any ideas where to start?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
oh... and i didnt get anything beyond the arrow... sorry... but i think i have enough to figure it out. :)
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
hmm i dont have an idea
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
ok, well, it is a rather large function, but it is a quotient (hint). So where might we start with this lovely little thing?
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
hmm..no idea lol
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
dont know anytin about the topic yet
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
it is ok... remember the quotient rule d(f/g)/dx=[(fprime)g(gprime)f]/g^2?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
in this case the numerator is f=sqrt(1x^2) +1 and g=2cos1(x)
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
do you know the product rule?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
phew...!! i am so glad. i thought for a sec we were outta options. lol
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
look at f(x)=sqrt(1x^2)+1 and g(x)=(2cos1(x))^1. does this make sense?
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
hahaha i can still remember my calculus 1, this calculus 2
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
yes it does
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
glad to hear it... calc I is totally needed here... good, it makes sense. now we need fprime and gprime and i think you are pretty much homefree. so what is fprime and what is gprime?
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.1
just algebra after you get the derivatives.
 2 years ago

krypton Group TitleBest ResponseYou've already chosen the best response.1
so i should get the derivative of each of them separatelyÉ
 2 years ago
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