Simplify $\frac{d^2f}{dx\cdot dy}\ln\left(\sqrt{3x^3ye^x+2xye^y}\right)$ applying logarithm properties

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Final answer to the problem

$\frac{d^2f}{2dx\cdot dy}\ln\left(3x^3ye^x+2xye^y\right)$
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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$

Learn how to solve properties of logarithms problems step by step online.

$\frac{1}{2}\frac{d^2f}{dx\cdot dy}\ln\left(3x^3ye^x+2xye^y\right)$

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Learn how to solve properties of logarithms problems step by step online. Simplify (d^2f)/(dxdy)ln((3x^3ye^x+2xye^y)^(1/2)) applying logarithm properties. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Multiplying fractions \frac{d^2f}{dx\cdot dy} \times \frac{1}{2}. Any expression multiplied by 1 is equal to itself.

Final answer to the problem

$\frac{d^2f}{2dx\cdot dy}\ln\left(3x^3ye^x+2xye^y\right)$

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Plotting: $\frac{d^2f}{2dx\cdot dy}\ln\left(3x^3ye^x+2xye^y\right)$

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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

How to improve your answer:

Main Topic: Properties of Logarithms

They are properties that can help us simplify expressions with logarithms.

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