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Mathematics
Mathematics
Problem
At
x
=
1
x = 1
x
=
1
, the function
u
=
g
(
x
)
u = g(x)
u
=
g
(
x
)
passes through the point
(
1
,
4
)
(1,4)
(
1
,
4
)
with a tangent slope of
0.8
0.8
0.8
. At
u
=
4
u = 4
u
=
4
, the function
y
=
f
(
u
)
y = f(u)
y
=
f
(
u
)
has a tangent slope of
−
2
-2
−
2
. Determine
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
x
=
1
x = 1
x
=
1
for the composite function
y
=
f
(
g
(
x
)
)
y = f\bigl(g(x)\bigr)
y
=
f
(
g
(
x
)
)
.
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