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Mathematics
Mathematics
Problem
When differentiating the equation
cos
(
y
)
+
x
y
=
0
\cos(y)+xy=0
cos
(
y
)
+
x
y
=
0
with respect to
x
x
x
, which of the following is the correct expression for
d
d
x
[
cos
(
y
)
]
\dfrac{d}{dx}[\cos(y)]
d
x
d
[
cos
(
y
)]
? a)
−
sin
(
y
)
-\sin(y)
−
sin
(
y
)
b)
−
sin
(
y
)
d
x
d
y
-\sin(y)\,\dfrac{dx}{dy}
−
sin
(
y
)
d
y
d
x
c)
−
sin
(
y
)
d
y
d
x
-\sin(y)\,\dfrac{dy}{dx}
−
sin
(
y
)
d
x
d
y
d)
−
cos
(
y
)
d
y
d
x
-\cos(y)\,\dfrac{dy}{dx}
−
cos
(
y
)
d
x
d
y
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