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Find the derivative $\frac{d}{dx}\left(\frac{-x}{y}\right)$

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Solution

Formulas

Videos

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=KyYC8XzKsHU

Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=789aMeepbxI

Finding the equation of a horizontal tangent

https://www.youtube.com/watch?v=ZhOojHeslhs

Function Plot

Plotting: $\frac{-1}{y}$

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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

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

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

$\frac{d}{dx}\left(\frac{\left(x^3+1\right)^4sin^2x}{x^{\frac{1}{3}}}\right)$

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

$\frac{d}{dx}\left(\frac{-x}{y}\right)$

Main Topic: Regola del quoziente di differenziazione

Used Formulas

See formulas (3)

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