Posted by sh on Thursday, April 8, 2010 at 10:23pm.
Find dy/dx in the following:
y=[x/√(1x²)] sin‾¹x
y'={[(1x²)^(1/2)(2x)(x)(1/2)(1x²)^(1/2)]/(1x²)}  (1/√(1x²))
Then I multiplied (2x)(x)(1/2) together. How do I simplify the rest?

Calculus  Reiny, Thursday, April 8, 2010 at 10:40pm
I agree so far with
y' = {[(1x²)^(1/2)(2x)(x)(1/2)(1x²)^(1/2)]/(1x²)}  (1/√(1x²))
= {[(1x²)^(1/2)(x^2(1x²)^(1/2)]/(1x²)}  (1x^2)^(1/2)/(1x²)
I formed a common denominator for the last term
= (1x^2)^(1/2) [1x^2  x^2  (1x^2)]
= (1+x^2)/(1x^2)^(3/2)
There would be other variations, the trick is to recognize if they are the same

Calculus  sh, Thursday, April 8, 2010 at 10:57pm
Thank you for the help!
Answer This Question
Related Questions
 Calculus III  Compute the length of the curve r(t)=5ti+8tj+(t2+4)k over the ...
 Algebra  1. Simplify the expression: 4√18+5√32 A.45√2 B.32&#...
 algebra 1 help  simplifying square roots 1) find volume of this prism? v=bwh b...
 Math  Find an equation of the line that bisects the obtuse angles formed by the...
 Algebra  Check My Work  For Question 18 Simplify the Radical Expression...
 Algebra  1.Simplify the radical expression. √5+6√√5 A.5√...
 8th grade algebra  Can you check my answers? 1. 3√20/√4 = 3√(...
 Algebra 2 Answer Check  Simplify by rationalizing each denominator. 1. 2/√...
 triggggg help  Let cos 67.5° = [√(2(+√2)]/2, find tan 67.5°. Show ...
 algebra 1 help  simplifying square roots 1) find volume of this prism? v=bwh b...
More Related Questions