d/dx (log(X)-cot(X))
Answers
Answered by
0
Answer:
Step-by-step explanation:
Differentiate using the chain rule, which states that
d
d
x
[
f
(
g
(
x
)
)
]
is
f
'
(
g
(
x
)
)
g
'
(
x
)
where
f
(
x
)
=
ln
(
x
)
and
g
(
x
)
=
cot
(
x
)
.
Tap for more steps...
1
cot
(
x
)
d
d
x
[
cot
(
x
)
]
Rewrite
cot
(
x
)
in terms of sines and cosines.
1
cos
(
x
)
sin
(
x
)
d
d
x
[
cot
(
x
)
]
Multiply by the reciprocal of the fraction to divide by
cos
(
x
)
sin
(
x
)
.
sin
(
x
)
cos
(
x
)
d
d
x
[
cot
(
x
)
]
Convert from
sin
(
x
)
cos
(
x
)
to
tan
(
x
)
.
tan
(
x
)
d
d
x
[
cot
(
x
)
]
The derivative of
cot
(
x
)
with respect to
x
is
−
csc
2
(
x
)
.
tan
(
x
)
(
−
csc
2
(
x
)
)
Simplify the expression.
Tap for more steps...
−
csc
2
(
x
)
tan
(
x
)
Similar questions
English,
1 month ago
Political Science,
1 month ago
English,
2 months ago
Math,
2 months ago
Hindi,
10 months ago