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# Find the derivative of $e^{\frac{-x}{y}}$

## Step-by-step Solution

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acosh
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### Videos

$\frac{-e^{\frac{-x}{y}}}{y}$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Applying the derivative of the exponential function

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

Learn how to solve differential calculus problems step by step online.

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

Learn how to solve differential calculus problems step by step online. Find the derivative of e^((-x)/y). Applying the derivative of the exponential function. 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 -e^{\frac{-x}{y}}.

$\frac{-e^{\frac{-x}{y}}}{y}$
SnapXam A2

### beta Got another answer? Verify it!

Go!
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

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

### Main topic:

Differential Calculus

~ 0.07 s