i need to find the derivative using chain rule and show steps:

y= (x) / ((x^2)-1)^(-1/2)

and is it possible to have free tutoring online like through a chatroom? i am in need of help

2 answers

there are tutoring chatrooms, but not here.

To play around with derivatives and much more, visit wolframalpha.com. For this problem, enter

derivative (x) / ((x^2)-1)^(-1/2)

and it will show you

(2x^2-1)/√(x^2-1)

and you can click on the "step-by-step solution" button for the details
y= (x) / ((x^2)-1)^(-1/2)
do you have a typo? That is the same as:
y = x (x^2-1)^(+1/2)

dy/dx = x(1/2)(x^2-1)^-.5(2x) +(x^2-1)^.5

= x^2(x^2-1)^-.5 + (x^2-1)^.5
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