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

## Step-by-step Solution

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###  Videos

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

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1

The derivative of a function multiplied by a constant ($\frac{1}{y}$) is equal to the constant times the derivative of the function

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

Learn how to solve quotient rule of differentiation problems step by step online.

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

Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((-x)/y). The derivative of a function multiplied by a constant (\frac{1}{y}) is equal to the constant times the derivative of the function. The derivative of the linear function times a constant, is equal to the constant. Multiplying the fraction by -1. The derivative of the linear function is equal to 1.

$\frac{-1}{y}$

##  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 -1x/y using the product ruleFind derivative of -1x/y using the quotient ruleFind derivative of -1x/y using logarithmic differentiationFind derivative of -1x/y using the definition

SnapXam A2

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1
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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: Quotient Rule of Differentiation

The quotient rule is a formal rule for differentiating problems where one function is divided by another.