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Mathematics
Mathematics
Problem
The derivative of
F
[
f
{
ϕ
(
x
)
}
]
F[f\{\phi(x)\}]
F
[
f
{
ϕ
(
x
)}]
is (a)
F
′
[
f
{
ϕ
(
x
)
}
]
F'[f\{\phi(x)\}]
F
′
[
f
{
ϕ
(
x
)}]
(b)
F
[
f
{
ϕ
(
x
)
}
]
f
′
{
ϕ
(
x
)
}
F[f\{\phi(x)\}]f'\{\phi(x)\}
F
[
f
{
ϕ
(
x
)}]
f
′
{
ϕ
(
x
)}
(c)
F
′
[
f
{
ϕ
(
x
)
}
]
f
′
{
ϕ
(
x
)
}
F'[f\{\phi(x)\}]f'\{\phi(x)\}
F
′
[
f
{
ϕ
(
x
)}]
f
′
{
ϕ
(
x
)}
(d)
F
′
[
f
{
ϕ
(
x
)
}
]
f
′
{
ϕ
(
x
)
}
ϕ
′
(
x
)
F'[f\{\phi(x)\}]f'\{\phi(x)\}\phi'(x)
F
′
[
f
{
ϕ
(
x
)}]
f
′
{
ϕ
(
x
)}
ϕ
′
(
x
)
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