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Mathematics
Mathematics
Problem
Use implicit differentiation to find the following derivatives. The answers are in Chapter 23, starting on page 475. 5. Find
d
y
d
x
\frac{d y}{d x}
d
x
d
y
if
x
sin
y
+
y
sin
x
=
π
2
2
x \sin y+y \sin x=\frac{\pi}{2 \sqrt{2}}
x
sin
y
+
y
sin
x
=
2
2
π
at
(
π
4
,
π
4
)
\left(\frac{\pi}{4}, \frac{\pi}{4}\right)
(
4
π
,
4
π
)
.
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