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# Find the derivative $\frac{d}{dx}\left(\sqrt{x}\right)$ using the power rule

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e
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ln
log
log
lim
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sin
cos
tan
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sec
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asin
acos
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sinh
cosh
tanh
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sech
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asinh
acosh
atanh
acoth
asech
acsch

## Final Answer

$\frac{1}{2\sqrt{x}}$
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## Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(x^{\frac{1}{2}}\right)$

Specify the solving method

1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$\frac{1}{2}x^{-\frac{1}{2}}$
2

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{1}{2\sqrt{x}}$

## Final Answer

$\frac{1}{2\sqrt{x}}$
SnapXam A2
Answer Assistant

Go!
1
2
3
4
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

### Tips on how to improve your answer:

$\frac{d}{dx}\left(x^{\frac{1}{2}}\right)$

### Main topic:

Power Rule for Derivatives

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