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Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(x^{\ln\left(x\right)}\right)$

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Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

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https://www.youtube.com/watch?v=Vhltl9w6QNM

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=KyYC8XzKsHU

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Function Plot

Plotting: $2x^{\left(\ln\left(x\right)-1\right)}\ln\left(x\right)$

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0
a
b
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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: Logarithmic Differentiation

The logarithmic derivative of a function f(x) is defined by the formula f'(x)/f(x).

Used Formulas

3. See formulas

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