Mathematics
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OpenStudy (anonymous):
pls. help me answer this.
Find the derivative
y=x/x^2-1
f(x)=x^2+1/x^2-1
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OpenStudy (anonymous):
(x^2-1)-2x^2/(x^2-1)^2
-x^2-1/(x^2-1)^2
OpenStudy (anonymous):
-4x/(x^2-1)^2 for the second
OpenStudy (anonymous):
can you explain how you did it?
OpenStudy (anonymous):
1(x^2-1)-2x(x)/(x^2-1)^2
when you do this type of diriv you need to do the following
D(top)*bottom-D(bottom)*top/BOTTOM SQUARED
OpenStudy (anonymous):
ok.can you solve this derivative\[\zeta(v)=3-v^2/1+v\]
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OpenStudy (anonymous):
pls.
OpenStudy (anonymous):
sure.
-2v(1+v)-(3-v^2)/(1+v)^2
OpenStudy (anonymous):
-2v-v^2-3/(1+v)^2
OpenStudy (anonymous):
in our calculus in solving the derivative u and v.
u=the top and v=bottom.are you also using that?
OpenStudy (anonymous):
yeah like d(u/v)=u'v-v'u/v^2
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OpenStudy (anonymous):
its quotient rule right?
OpenStudy (anonymous):
the last derivative can you please explain how you did it?
OpenStudy (anonymous):
which one?
OpenStudy (anonymous):
the last derivative you solved.the ans is \[v^2+2v+3/(3-v^2)^2\]
OpenStudy (anonymous):
3-v^2/(1+v)
-2v(1+v)-3+v^2/(1+v)^2
-v^2-2v-3/(1+v)^2
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OpenStudy (anonymous):
ah.ok thank you very much
OpenStudy (anonymous):
can you?pls....
OpenStudy (anonymous):
hey bnut are you still there?
OpenStudy (anonymous):
yeah sorry i was away please write me the question again
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