Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

\frac{d}{dx}\left(x^2+xy-y^2=1\right)

Find the derivative of xy-1y^2+x^2=1

Answer

$\frac{d}{dx}\left(x^2\right)+y=0$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(x^2+xy-y^2=1\right)$
1

Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

$\frac{d}{dx}\left(-y^2+y\cdot x+x^2\right)=\frac{d}{dx}\left(1\right)$

Unlock this step-by-step solution!

Answer

$\frac{d}{dx}\left(x^2\right)+y=0$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!

$\frac{d}{dx}\left(x^2+xy-y^2=1\right)$

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.24 seconds