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

Step-by-step Solution

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Solving: $\frac{d}{dx}\left(\frac{-x}{y}\right)$
Solve instead: $\frac{dy}{dx}\left(\frac{-x}{y}\right)$

Solution

Formulas

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Final answer to the problem

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

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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.

Final answer to the problem

$\frac{-1}{y}$

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Function Plot

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

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0
a
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m
n
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v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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

How to improve your answer:

Similar Problems Solved

Find the derivative

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

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

Find the derivative

$\frac{d}{dx}\left(\frac{5}{x}\right)$

Find the derivative

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

Find the derivative

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

Find the derivative

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

Find the derivative

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

Main Topic: Quotient Rule of Differentiation

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

Used Formulas

See formulas (3)

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