Use implicit differentiation to find
d
y
d
x
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}
d
x
d
y
given the equation
sin
(
x
y
)
=
y
4
\displaystyle {\sin{{\left({x}{y}\right)}}}={y}^{{4}}
sin
(
x
y
)
=
y
4
.
d
y
d
x
=
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=\
d
x
d
y
=
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