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Find the derivative $\frac{d}{dx}\left(\frac{\ln\left(x^2+4x\right)}{x^2+4x}\right)$

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Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

Calculus - Using the power rule of logarithms to take the derivative of a natural log, d(ln(x^2))/dx

https://www.youtube.com/watch?v=JIq0y4ST7tc

Calculus - Using power rule with square root to take derivative on a logarithm, d(ln(sqrt(x+1)))/dx

https://www.youtube.com/watch?v=vbgVpjL8ucU

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Calculus - Take the derivative of the equation of a circle with respect to t, d(x^2 + y^2 = d^2)dt

https://www.youtube.com/watch?v=acDi9r48KTA

Calculus - Take the derivative of a natural logarithm using properties of logs, d((x^2)lnx)/dx

https://www.youtube.com/watch?v=EyMmcH712w0

Function Plot

Plotting: $\frac{2x+4+\left(-2x-4\right)\ln\left(x^2+4x\right)}{\left(x^2+4x\right)^2}$

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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: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.

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