Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,459 questions

17,854 answers

1,446 comments

805,805 users

Find the derivative of

0 votes
(2x)/((2x^2+3))?
asked Oct 25, 2014 in ALGEBRA 2 by anonymous

1 Answer

0 votes

The rational expression is 2x/(2x²+3).

Differentiate with respect to x.

= (d/dx)[2x/(2x²+3)]

Apply quotient rule of derivative: (u/v)' = (vu' - uv') / v².

= [2(2x²+3) - 2x(4x)] / (2x²+3)².

= [4x² + 6 - 8x²] / (2x²+3)²

= (6 - 4x²) / (2x²+3)²

answered Oct 25, 2014 by casacop Expert

Related questions

asked Nov 15, 2014 in CALCULUS by anonymous
asked Nov 4, 2014 in CALCULUS by anonymous
asked Sep 13, 2014 in CALCULUS by anonymous
asked Jul 21, 2014 in CALCULUS by anonymous
...