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inverse and inverse trignometric functions
find d/dx(arctan^2(sqrt(x))
 one year ago
 one year ago
inverse and inverse trignometric functions find d/dx(arctan^2(sqrt(x))
 one year ago
 one year ago

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hsmtBest ResponseYou've already chosen the best response.1
hi krypton.. you still there? I think i might be able to help if you are
 one year ago

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

hsmtBest 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...
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
what is the derivative of (f(x))^2?
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
it would be something like 2(f(x))times f prime of x
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
in this case, f(u)=tan1u, where u=sqrt of x. does this make sense?
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
questions are good here. the more you ask, the more i can help... :)
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
so what is the derivative of tan1u?
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
you can give me your best guess if you like
 one year ago

kryptonBest 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?
 one year ago

hsmtBest 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.
 one year ago

hsmtBest 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
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
is that making sense to you?
 one year ago

kryptonBest ResponseYou've already chosen the best response.1
so what will be my final answer?
 one year ago

kryptonBest ResponseYou've already chosen the best response.1
can u help me with one other questionÉ
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
if i can, i would be happy to
 one year ago

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

hsmtBest ResponseYou've already chosen the best response.1
ok. any ideas where to start?
 one year ago

hsmtBest 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. :)
 one year ago

kryptonBest ResponseYou've already chosen the best response.1
hmm i dont have an idea
 one year ago

hsmtBest 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?
 one year ago

kryptonBest ResponseYou've already chosen the best response.1
dont know anytin about the topic yet
 one year ago

hsmtBest 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?
 one year ago

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

hsmtBest ResponseYou've already chosen the best response.1
do you know the product rule?
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
phew...!! i am so glad. i thought for a sec we were outta options. lol
 one year ago

hsmtBest 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?
 one year ago

kryptonBest ResponseYou've already chosen the best response.1
hahaha i can still remember my calculus 1, this calculus 2
 one year ago

hsmtBest 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?
 one year ago

hsmtBest ResponseYou've already chosen the best response.1
just algebra after you get the derivatives.
 one year ago

kryptonBest ResponseYou've already chosen the best response.1
so i should get the derivative of each of them separatelyÉ
 one year ago
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