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Find the derivative using the product rule $\frac{\frac{\frac{x^2+5x+6}{x^2-1}\left(x^2+2x-3\right)}{3x+6}\left(x+1\right)}{-x^2+6x-9}$

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Tutorial - Condensing logarithmic expressions ex 12, 1/3(2ln(x+3)+lnx-ln(x^2-1))

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Calculus - Take the derivative using product rule with natural logarithms,, ln(y) = (x^2)ln(x)

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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

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Algebra 1 - Distributive Property, 4x(2x+y); -3(3a^2 -a+7); 2xy(x^2 -3xy+4x); (x/6)(x^2 +5x-9)

https://www.youtube.com/watch?v=4xx87GKdm04

Function Plot

Plotting: $\frac{\left(x^2+5x+6\right)\left(x^2+2x-3\right)\left(x+1\right)}{\left(x^2-1\right)\left(3x+6\right)\left(-x^2+6x-9\right)}$

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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

How to improve your answer:

Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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