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(\ln\left(x y^2-y\right)+\sqrt{3x-y}\right)

Find the derivative of ln(xy^2-1y)+(3x-1y)^0.5

Answer

$\frac{\sqrt{3x-y}y^2-\frac{3}{2}y+\frac{3}{2}y^2x}{\sqrt{3x-y}y^2x-\sqrt{3x-y}y}$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(\ln\left(x y^2-y\right)+\sqrt{3x-y}\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(\sqrt{3x-y}\right)+\frac{d}{dx}\left(\ln\left(y^2x-y\right)\right)$

Unlock this step-by-step solution!

Answer

$\frac{\sqrt{3x-y}y^2-\frac{3}{2}y+\frac{3}{2}y^2x}{\sqrt{3x-y}y^2x-\sqrt{3x-y}y}$
$\frac{d}{dx}\left(\ln\left(x y^2-y\right)+\sqrt{3x-y}\right)$

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 2.11 seconds