find dy/dx y=(x-sinx)(1+cos x)
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Answer:
y
=
1
−
cos
(
x
)
sin
(
x
)
Differentiate both sides of the equation.
d
d
x
(
y
)
=
d
d
x
(
1
−
cos
(
x
)
sin
(
x
)
)
The derivative of
y
with respect to
x
is
y
'
.
y
'
Differentiate the right side of the equation.
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1
−
cos
(
x
)
sin
2
(
x
)
Reform the equation by setting the left side equal to the right side.
y
'
=
1
−
cos
(
x
)
sin
2
(
x
)
Replace
y
'
with
d
y
d
x
.
d
y
d
x
=
1
−
cos
(
x
)
sin
2
(
x
)
Step-by-step explanation:
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