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Expand the logarithmic expression $\frac{d^2f}{dx\cdot dy}\left(\ln\left(\sqrt{x}\right)^2ye^x+2xye^y\right)$

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Tutorial - Expanding logarithmic expressions ex 15, ln (cuberoot(x^(2/3)) / (y^4 z^1/2))

https://www.youtube.com/watch?v=FuTxSQEwZD4

Pre-Calculus - Condensing a logarithmic expression to one logarithm 2[3lnx - ln(x+1)-ln(x-1)]

https://www.youtube.com/watch?v=HS0--oEAT4I

Tutorial - Condensing logarithmic expressions ex 12, 1/3(2ln(x+3)+lnx-ln(x^2-1))

https://www.youtube.com/watch?v=l8AE8UzknbY

Tutorial - Condensing logarithmic expressions ex 11, 1/2(3log2(x)-2 log2(z))

https://www.youtube.com/watch?v=doNh13E4XBo

How to use properties of logs to expand an expression with roots

https://www.youtube.com/watch?v=IdcLlCwz4Ok

Algebra 2 - Learn how to expand a logarithmic expression with a square root

https://www.youtube.com/watch?v=YpYlKEsuwEc

Function Plot

Plotting: $\frac{d^2f}{4dx\cdot dy}\ln\left(x\right)^2ye^x+2xye^y\left(\frac{d^2f}{dx\cdot dy}\right)$

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a
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f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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: Expanding Logarithms

Logarithm expansion consists of applying the properties of logarithms to express a single logarithm in multiple logarithms, usually much simpler.

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