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

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Solution

Formulas

Videos

Implicit differentiation with the chain rule and in

https://www.youtube.com/watch?v=TNy-IxD15f0

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

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

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

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

How to take the derivative using the chain rule twice

https://www.youtube.com/watch?v=I5Xe3USWFus

Learn how to find the derivative of tangent using the quotient rule

https://www.youtube.com/watch?v=xMs4q6OEb0I

How to take the derivative using chain rule with natural log and cosine

https://www.youtube.com/watch?v=bbK7KtEeULo

Function Plot

Plotting: $\frac{-1}{ye^{\frac{x}{y}}}$

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1
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5
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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
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:

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$\frac{d}{dx}\left(x\sqrt{x^2-1}\right)$

Main Topic: Basic Differentiation Rules

Some differentiation rules are very easy to remember and use. These are the basic ones: constant rule, sum rule, product rule and quotient rule.

Used Formulas

See formulas (3)

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