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

Step-by-step Solution

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Final answer to the problem

$\frac{-1}{y}$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(\frac{x}{c}\right)$$=\frac{1}{c}\frac{d}{dx}\left(x\right)$, where $c=y$ and $x=-x$

$\frac{1}{y}\frac{d}{dx}\left(-x\right)$

Learn how to solve regola del quoziente di differenziazione problems step by step online.

$\frac{1}{y}\frac{d}{dx}\left(-x\right)$

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Learn how to solve regola del quoziente di differenziazione problems step by step online. Find the derivative d/dx((-x)/y). Apply the formula: \frac{d}{dx}\left(\frac{x}{c}\right)=\frac{1}{c}\frac{d}{dx}\left(x\right), where c=y and x=-x. Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=-1. Apply the formula: -\frac{b}{c}=\frac{expand\left(-b\right)}{c}, where b=1 and c=y. Apply the formula: \frac{d}{dx}\left(x\right)=1.

Final answer to the problem

$\frac{-1}{y}$

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Function Plot

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

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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

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