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Mathematics
Mathematics
Problem
For a composite function
y
=
f
(
g
(
x
)
)
y=f(g(x))
y
=
f
(
g
(
x
))
, which of the following gives
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
? a)
f
′
(
x
)
g
(
x
)
f'(x)\,g(x)
f
′
(
x
)
g
(
x
)
b)
f
(
g
(
x
)
)
g
′
(
x
)
f(g(x))\,g'(x)
f
(
g
(
x
))
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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