Theres really only two steps here. You're just plug and chugging. What is X in this case? What is The derivative of X. What does the chain rule say to do. Answer those questions first, and if your answers are incorrect I will do the steps.
Ok awesome. So now multiply the derivative of the "X" you just calculated, by the derivative of the sine inverse function, making sure to substitute your "X" into the portion marked x-squared.
I have the same problem. The answer that you gave is not the answer that came from our book. And I cannot make the connection between the two. The answer given was sqrt2/sqrt(1-2t^2).
I have the same problem. The answer that you gave is not the answer that came from our book. And I cannot make the connection between the two. The answer given was sqrt2/sqrt(1-2t^2).
There is an error in your book then. In the radicand of our derivative:
And the derivative of the argument inside the sine inverse, does not produce a in the numerator, even after rationalizing the in the denominator of both or our problems.