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# Find the derivative of $\cos\left(x\right)\csc\left(x\right)$

## Step-by-step Solution

Go!
Go!
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e
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ln
log
log
lim
d/dx
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θ
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>
<
>=
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Videos

$-\csc\left(x\right)^2$
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## Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(\cos\left(x\right)\right)\cdot \csc\left(x\right)$

Specify the solving method

1

Simplify $\cos\left(x\right)\csc\left(x\right)$ into $\cot(x)$ by applying trigonometric identities

$\frac{d}{dx}\left(\cot\left(x\right)\right)$
2

Taking the derivative of cotangent

$-\csc\left(x\right)^2$

$-\csc\left(x\right)^2$

### Explore different ways to solve this problem

Find the derivativeProduct ruleQuotient ruleLogarithmic differentiation
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

$\frac{d}{dx}\left(\cos\left(x\right)\right)\cdot \csc\left(x\right)$

### Main topic:

Differential Calculus

~ 0.06 s