Find the derivatives of cos -1(4x2-3x)
Answers
Answered by
4
Answer:
80
sin
3
(
x
)
cos
(
x
)
Step-by-step explanation:
We have:
y
=
20
sin
4
(
x
)
This function can be differentiated using the "chain rule".
Let
u
=
sin
(
x
)
⇒
u
'
=
cos
(
x
)
and
v
=
20
u
4
⇒
v
'
=
80
u
3
:
⇒
y
'
=
cos
(
x
)
⋅
80
u
3
⇒
y
'
=
80
cos
(
x
)
u
3
We can now replace
u
with
sin
(
x
)
:
⇒
y
'
=
80
cos
(
x
)
(
sin
(
x
)
)
3
⇒
y
'
=
80
sin
3
(
x
)
cos
(
x
)
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