Need help differentiating this function, thank you! F(x)=(2-x^2)/(7+x^2) please tell me how you did it step by step, if that isn't to much to ask. I'm also going to post what i did. Need help differentiating this function, thank you! F(x)=(2-x^2)/(7+x^2) please tell me how you did it step by step, if that isn't to much to ask. I'm also going to post what i did. @Mathematics

Question

Need help differentiating this function, thank you! F(x)=(2-x^2)/(7+x^2)   please tell me how you did it step by step, if that isn't to much to ask. I'm also going to post what i did.  Need help differentiating this function, thank you! F(x)=(2-x^2)/(7+x^2)   please tell me how you did it step by step, if that isn't to much to ask. I'm also going to post what i did.  @Mathematics

anonymous · Answer

Using the quotient rule: G x derivative of F - derivative of G x F / (G)^2 

$$(7+X^2)(-2x)-(2x)(2-X^2)/(7+x^2)^2 $$

anonymous · Answer

$$-14x-2x^3-24x-2X^3  / (7-x^2)^2 $$ combine like terms -> $$-4x^3-18x/(7-X^2)^2$$

anonymous · Answer

sorry not -24x its -4x

anonymous · Answer

Second step...should have a + 2x^3 for the last term in the numerator...

anonymous · Answer

So they cancel, giving just -18x on top.

mimi_x3 · Answer

f'(x) = -18x/(x^2+7)^2

anonymous · Answer

ah ok, late night mistake ... thank you guys i appreciate it! :-)