Use implicit differentiation to find the equation of the tangent line to the curve
x
y
3
+
x
y
=
8
\displaystyle {x}{y}^{{3}}+{x}{y}={8}
x
y
3
+
x
y
=
8
at the point
(
4
,
1
)
\displaystyle {\left({4},{1}\right)}
(
4
,
1
)
. The equation of this tangent line can be written in the form
y
=
m
x
+
b
\displaystyle {y}={m}{x}+{b}
y
=
m
x
+
b
where
m
\displaystyle {m}
m
is:
Preview
Question 6 Part 1 of 2
and where
b
\displaystyle {b}
b
is:
Preview
Question 6 Part 2 of 2
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity