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Mathematics
Problem
Consider the composite function
y
=
f
(
(
g
(
x
)
)
2
)
y = f\bigl((g(x))^{2}\bigr)
y
=
f
(
(
g
(
x
)
)
2
)
. Selected values are shown below. x g(x) g'(x) 1 3 -1 3 -2 5 w f(w) f'(w) 4 1 -7 Calculate
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
x
=
3
x = 3
x
=
3
.
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