How do you find the derivative of x/(1+x^2)x1+x2?
2 Answers
Jun 3, 2018
Use the rule
Explanation:
If
Then
Where
Jun 3, 2018
Explanation:
"differentiate using the "color(blue)"quotient rule"
"given "f(x)=(g(x))/(h(x))" then"
f'(x)=(h(x)g'(x)-g(x)h'(x))/(h(x))^2larrcolor(blue)"quotient rule"
g(x)=xrArrg'(x)=1
h(x)=1+x^2rArrh'(x)=2x
d/dx(x/(1+x^2))
=(1+x^2-2x^2)/(1+x^2)^2=(1-x^2)/(1+x^2)^2