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

Step-by-step Solution

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Final answer to the problem

$\frac{1}{\ln\left(2\right)x}$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(\log_{a}\left(x\right)\right)$$=\frac{d}{dx}\left(\frac{\ln\left(x\right)}{\ln\left(a\right)}\right)$, where $a=2$

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

Learn how to solve calcul différentiel problems step by step online.

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

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Learn how to solve calcul différentiel problems step by step online. d/dx(log2(x)). Apply the formula: \frac{d}{dx}\left(\log_{a}\left(x\right)\right)=\frac{d}{dx}\left(\frac{\ln\left(x\right)}{\ln\left(a\right)}\right), where a=2. Apply the formula: \frac{d}{dx}\left(\frac{x}{c}\right)=\frac{1}{c}\frac{d}{dx}\left(x\right), where c=\ln\left(2\right) and x=\ln\left(x\right). Apply the formula: \frac{d}{dx}\left(\ln\left(x\right)\right)=\frac{1}{x}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=1, b=\ln\left(2\right), c=1, a/b=\frac{1}{\ln\left(2\right)}, f=x, c/f=\frac{1}{x} and a/bc/f=\frac{1}{\ln\left(2\right)}\frac{1}{x}.

Final answer to the problem

$\frac{1}{\ln\left(2\right)x}$

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Function Plot

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

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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

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