$\frac{d}{dx}\left(2xy=1\right)$

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Final answer to the problem

$y+xy^{\prime}=0$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(a=b\right)$$=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right)$, where $a=2xy$ and $b=1$

$\frac{d}{dx}\left(2xy\right)=\frac{d}{dx}\left(1\right)$

Learn how to solve différenciation implicite problems step by step online.

$\frac{d}{dx}\left(2xy\right)=\frac{d}{dx}\left(1\right)$

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Learn how to solve différenciation implicite problems step by step online. d/dx(2xy=1). Apply the formula: \frac{d}{dx}\left(a=b\right)=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right), where a=2xy and b=1. Apply the formula: \frac{d}{dx}\left(c\right)=0, where c=1. Apply the formula: \frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right). Apply the formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), where d/dx=\frac{d}{dx}, ab=xy, a=x, b=y and d/dx?ab=\frac{d}{dx}\left(xy\right).

Final answer to the problem

$y+xy^{\prime}=0$

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Function Plot

Plotting: $y^{\prime}=\frac{-y}{x}$

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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

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