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# Find the derivative $\frac{d}{dx}\left(x^2\right)$ using the power rule

## Step-by-step Solution

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e
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ln
log
log
lim
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=
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<
>=
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sin
cos
tan
cot
sec
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asin
acos
atan
acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$2x$
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##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

We could not solve this problem by using the method: Find the derivative using the product rule

1

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

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

Subtract the values $2$ and $-1$

$2x$

$2x$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of x^2 using the quotient ruleFind derivative of x^2 using logarithmic differentiationFind derivative of x^2 using the definition

SnapXam A2

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

### Main topic:

Power Rule for Derivatives

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