# Step-by-step Solution

## Find the derivative using the product rule $\frac{d}{dx}\left(\cos\left(x\right)\csc\left(x\right)\right)$

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e
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ln
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log
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sin
cos
tan
cot
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Videos

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

## Step-by-step Solution

Problem to solve:

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

Choose the solving method

1

Apply the formula: $\csc\left(x\right)\cos\left(x\right)$$=\cot\left(x\right)$

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

Taking the derivative of cotangent

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

$-\csc\left(x\right)^2$
SnapXam A2

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1
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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:

Product Rule of differentiation

~ 0.05 s