differentiate the sin t square
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Answered by
3
Answer:
Differentiate using the chain rule, which states that
d
d
x
[
f
(
g
(
x
)
)
]
is
f
'
(
g
(
x
)
)
g
'
(
x
)
where
f
(
x
)
=
sin
(
x
)
and
g
(
x
)
=
x
2
.
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To apply the Chain Rule, set
u
as
x
2
.
d
d
u
[
sin
(
u
)
]
d
d
x
[
x
2
]
The derivative of
sin
(
u
)
with respect to
u
is
cos
(
u
)
.
cos
(
u
)
d
d
x
[
x
2
]
Replace all occurrences of
u
with
x
2
.
cos
(
x
2
)
d
d
x
[
x
2
]
Differentiate using the Power Rule.
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2
x
cos
(
x
2
)
([)]|√>≥∫
789÷<≤°θ
456/×π
123-^∞!
0.,+%=
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