find derivative please.
2007-12-03 13:37:53 · 7 answers · asked by Ess 1 in Science & Mathematics ➔ Mathematics
f ( x ) = ( 1 + x ² )^(- 1)
f `(x) = (- 1)( 1 + x ² )^(- 2) ( 2 x )
f `(x) = (- 2 x ) / ( 1 + x ² ) ²
2007-12-05 06:16:44 · answer #1 · answered by Como 7 · 2⤊ 0⤋
first if you want to you can rewrite it as (1+x^2)^-1 now by the power rule you see that this becomes -1(1+x^2)^-2 and by the chain rule we must multiply the result by the derivative of the "inside" which is 2x, now we should have -1(1+x^2)^-2 *2x. Now rewriting with positive exponents we have -2x/(1+x^2)^2
2007-12-03 13:49:11 · answer #2 · answered by Anonymous · 0⤊ 1⤋
Write it as (1+x^2)^(-1)
This should make it easier. Now you can just use the power rule and chain rule
2007-12-03 13:40:52 · answer #3 · answered by Demiurge42 7 · 0⤊ 0⤋
f(x) = (x^2+1)^(-1)
= -(x^2+1)^(-2) * (2x)
= (2x)/(x^2+1)^2
2007-12-03 13:48:07 · answer #4 · answered by John 4 · 0⤊ 0⤋
use the differentiation method if you want
but if you'll going to rewrite it as
f(x)=(1-x^2)^-1
you can use the power rule.it is lot more easier i think.
2007-12-03 14:13:50 · answer #5 · answered by harry 1 · 0⤊ 0⤋
-2x/(1 + x²)²
2007-12-03 13:41:08 · answer #6 · answered by Joe L 5 · 0⤊ 0⤋
0/(0
+2X)
2007-12-03 13:44:04 · answer #7 · answered by samuel a 1 · 0⤊ 1⤋