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Mathematics
Mathematics
Problem
State the correct expression for the derivative of a composite function
y
=
f
(
g
(
x
)
)
y=f\bigl(g(x)\bigr)
y
=
f
(
g
(
x
)
)
with respect to
x
x
x
. a)
f
(
g
(
x
)
)
g
′
(
x
)
f(g(x))\,g'(x)
f
(
g
(
x
))
g
′
(
x
)
b)
f
′
(
g
(
x
)
)
f'(g(x))
f
′
(
g
(
x
))
c)
f
′
(
g
(
x
)
)
g
′
(
x
)
f'(g(x))\,g'(x)
f
′
(
g
(
x
))
g
′
(
x
)
d)
f
′
(
x
)
g
′
(
x
)
f'(x)\,g'(x)
f
′
(
x
)
g
′
(
x
)
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