Find the implicit derivative $\frac{d}{dx}\left(\sin\left(x+4y\right)=3x\right)$

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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

Implicit differentiation with the chain rule and in

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

Implicit Differentiation - Find The First &amp; Second Derivatives

https://www.youtube.com/watch?v=-XQDh6Z6DPI

How to take the second derivative using implicit differentiation

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

Implicit differentiation without using the properties of logarithms

https://www.youtube.com/watch?v=hb4U0E4wG_Q

Function Plot

Plotting: $y^{\prime}=\frac{3-\cos\left(x+4y\right)}{4\cos\left(x+4y\right)}$

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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

How to improve your answer:

Main Topic: Advanced differentiation

They are the more complex rules of differentiation. Those include the implicit and logarithmic differentiation.

Used Formulas

See formulas (4)

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