Draw a triangle that represents the angle . We see that the side opposite the angle has a value of x, and the hypotenuse of the triangle has a value of 1. This implies that the adjacent has the value of

Thus, we see that the

Keep in mind that . You will also need to apply the product rule to the term.Find the derivative and simplify:

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

Keep in mind that3) y = arctan(x-(1+x^2)^(1/2))

Again, keep in mind that , but recall that4) y = arctan (x/9) + ln( ( (x-9)/(x+9) ) ^ (1/2) )

and find the limit of

5) Lim as x goes to 0 from the right, arctan(lnx)

Any help would be very much-ly received and appreciated!!

Note that as ,

In essence, we are finding

This is the same thing as asking what value of theta causes ?

I'll let you think about that.

I hope this helps!

--Chris