Question

find derivative of y.

Answer 1

\[(t) \tanh^-(t) + \ln({\sqrt(1-t^2))}\]

Answer 2

y = that

Answer 3

Hello PaulK I would love to explain but I do not know how to use Equation yet therefore let me write it out in a piece of paper (much faster for me anyway) and then i can post it...please give me like 5-10 minutes as i will also have to scan the paper i write out :-)

Answer 4

it's not as dark as i would like it to be but can you read it? I chose the lousiest pen on my desk to write it out :-/

Answer 5

if you would like visit my mom's website http://www.mlstutoringservices.com/#!math-solutions

Answer 6

thank you

Answer 7

did the solution make sense i would be more than happy to explain any part of it :-)

Answer 8

Copy and paste in your browser
http://www.wolframalpha.com/input/?i=derivative+t+ArcTanh [t]+%2B+Log[Sqrt[1+-+t^2]]

Answer 9

Forgot to cancel out the last two terms before the last step in writing the solution. here is the updated version.

Answer 10

to verify the last part we have to look at the domain...but i will explain this only if you are interested.

Answer 11

in the graph attached: blue is the graph y=xarchtant, red is the graph y=ln(sqrt(1-x^2))
and purple is the graph y=ln(sqrt(x^2-1))