rileyann36
rileyann36
05-10-2020
Advanced Placement (AP)
contestada
f(x)=sin^5(4x). Find f '(x)
Respuesta :
erica2705
erica2705
05-10-2020
I got:
f
'
(
x
)
=
10
sin
4
(
2
x
)
cos
(
2
x
)
Explanation:
I would use the Chain Rule starting from the power of
5
then the
sin
and last the
2
x
multiplying each derivative:
f
'
(
x
)
=
5
sin
5
−
1
(
2
x
)
⋅
cos
(
2
x
)
⋅
2
f
'
(
x
)
=
10
sin
4
(
2
x
)
cos
(
2
x
)
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