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Mathematics
Mathematics
Problem
Determine
d
d
x
[
cos
(
e
4
x
3
)
]
.
\dfrac{d}{dx}\bigl[\cos\bigl(e^{4x^{3}}\bigr)\bigr].
d
x
d
[
cos
(
e
4
x
3
)
]
.
a)
12
x
2
e
4
x
3
sin
(
e
4
x
3
)
12x^{2}e^{4x^{3}}\sin\bigl(e^{4x^{3}}\bigr)
12
x
2
e
4
x
3
sin
(
e
4
x
3
)
b)
−
12
x
2
e
4
x
3
cos
(
e
4
x
3
)
-12x^{2}e^{4x^{3}}\cos\bigl(e^{4x^{3}}\bigr)
−
12
x
2
e
4
x
3
cos
(
e
4
x
3
)
c)
−
12
x
2
e
4
x
3
sin
(
e
4
x
3
)
-12x^{2}e^{4x^{3}}\sin\bigl(e^{4x^{3}}\bigr)
−
12
x
2
e
4
x
3
sin
(
e
4
x
3
)
d)
−
sin
(
e
4
x
3
)
-\sin\bigl(e^{4x^{3}}\bigr)
−
sin
(
e
4
x
3
)
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