Question

F(x)=sin^5(4x). Find f '(x)

Answer 1

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
)