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Find the derivative $\frac{d}{dx}\left(\frac{\sin\left(x\right)}{x^2}\right)$

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Solution

Formulas

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Derivati di base

$\frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}$
$\frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}$
$\frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}$

Derivate delle funzioni trigonometriche

$\frac{d}{dx}\left(\sin\left(\theta \right)\right)=\cos\left(\theta \right)$

Function Plot

Plotting: $\frac{x\cos\left(x\right)-2\sin\left(x\right)}{x^{3}}$

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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

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

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$\frac{d}{dx}\left(\frac{3}{x^2}\right)$

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

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

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

Main Topic: Regola del quoziente di differenziazione

Used Formulas

See formulas (4)

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