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Differentiate. F(y) = 1/(y^2 −3/y^4)(y + 5y^3)
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F(y) = (1/y^2 −3/y^4)(y + 5y^3)
use product rule?
is this the correct equation?
no
F(y) = (1/y^2 −3/y^4)(y + 5y^3)
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\[F(y)=\frac{ 1 }{ y ^{2} -\frac{ 3 }{ y ^{4} }}(y+5y ^{3})\]
how does this one look?
\[\frac{ 1 }{ y ^{2} }-\frac{ 3 }{ y ^{4} }(y+5y ^{3})\]
ok
both fractions r in a bracket together
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\[F(y)=y ^{-2}-3y ^{-4}(y+5y ^{3})\] I would first rewrite it like this and then use the product/chain-rule.
okkay
(y^−2−3y^−4)(y+5y3)
\[F'(y)=-2y ^{-3}-3y ^{-4}(1+15y ^{2})+(y+5y ^{3})(12y ^{-5})\]
you can combine like terms in order to get a simplified answer
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thanks man
you're welcome
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