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$\frac{d}{dx}\left(x^{\left(x^2\right)}\right)$

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Solution

Formulas

Videos

Calculus - Using power rule with square root to take derivative on a logarithm, d(ln(sqrt(x+1)))/dx

https://www.youtube.com/watch?v=vbgVpjL8ucU

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

https://www.youtube.com/watch?v=urYZhqwUTI0

Calculus - Using the power rule of logarithms to take the derivative of a natural log, d(ln(x^2))/dx

https://www.youtube.com/watch?v=JIq0y4ST7tc

Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=789aMeepbxI

Calculus - Take the derivative of a natural logarithm using properties of logs, d((x^2)lnx)/dx

https://www.youtube.com/watch?v=EyMmcH712w0

Demostración de la derivada del logaritmo natural

https://www.youtube.com/watch?v=P97UcNTqeZ0

Function Plot

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

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

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Similar Problems Solved

$\frac{d}{dx}\left(\cosh\left(x\right)^{\sqrt{x}}\right)$

$\frac{d}{dx}\left(coshx^{\sqrt{x}}\right)$

$\frac{d}{dx}\left(cosh\left(x\right)\right)^{\sqrt{x}}$

$\frac{d}{dx}\left(\left(\left(coshx\right)^{\sqrt{x}}\right)\right)$

$\frac{d}{dx}\cosh\left(x\right)^{\sqrt{x}}$

$\frac{d}{dx}\left(cos\left(x\right)^x\right)$

$\frac{d}{dx}\left(sinx^{lnx}\right)$

Main Topic: Différenciation logarithmique

Used Formulas

See formulas (5)

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