$\frac{d}{dx}\left(\sqrt[7]{x}\right)$

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Final answer to the problem

$\frac{1}{7\sqrt[7]{x^{6}}}$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(x^a\right)$$=ax^{\left(a-1\right)}$, where $a=\frac{1}{7}$

$\frac{1}{7}x^{\left(\frac{1}{7}-1\right)}$

Learn how to solve règle de puissance pour les produits dérivés problems step by step online.

$\frac{1}{7}x^{\left(\frac{1}{7}-1\right)}$

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Learn how to solve règle de puissance pour les produits dérivés problems step by step online. d/dx(x^(1/7)). Apply the formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}, where a=\frac{1}{7}. Apply the formula: x^a=\frac{1}{x^{\left|a\right|}}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=1, b=7, c=1, a/b=\frac{1}{7}, f=x^{\left|-\frac{6}{7}\right|}, c/f=\frac{1}{x^{\left|-\frac{6}{7}\right|}} and a/bc/f=\frac{1}{7}\frac{1}{x^{\left|-\frac{6}{7}\right|}}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=1, b=7, c=1, a/b=\frac{1}{7}, f=\sqrt[7]{x^{6}}, c/f=\frac{1}{\sqrt[7]{x^{6}}} and a/bc/f=\frac{1}{7}\frac{1}{\sqrt[7]{x^{6}}}.

Final answer to the problem

$\frac{1}{7\sqrt[7]{x^{6}}}$

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Plotting: $\frac{1}{7\sqrt[7]{x^{6}}}$

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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

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