es 12.5 the intercepts and domain, and perform the symmetry test on each of the following ellipses: 6x2 + 25y2 = 400 2 + 472 = 4
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Let and
. By the product rule,
By the power rule, we have and
, but
are functions of
, so we also need to apply the chain rule:
and we have
So we end up with
Replace to get everything in terms of
:
We can simplify this by factoring:
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