# Step-by-step Solution

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step explanation

Problem to solve:

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

Learn how to solve product rule of differentiation problems step by step online.

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

Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule (d/dx)(cos(x)csc(x)). Simplifying. Taking the derivative of cotangent. The derivative of the linear function is equal to 1. Multiply -1 times 1.

$-\csc\left(x\right)^2$
$\frac{d}{dx}\left(\cos\left(x\right)\right)\cdot \csc\left(x\right)$

### Main topic:

Product rule of differentiation

### Time to solve it:

~ 0.02 s (SnapXam)