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Find the higher order ($2$) derivative of $\frac{3}{\left(x-1\right)^2}$

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Solving: $\frac{d^2}{dx^2}\left(\frac{3}{\left(x-1\right)^2}\right)$
Solve instead: $\frac{d^2}{dx^2}\frac{3}{\left(x-1\right)^2}$

Solution

Videos

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

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Equations with rational expressions | Mathematics III | High School Math | Khan Academy

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

Extraneous solutions of radical equations | Mathematics III | High School Math | Khan Academy

https://www.youtube.com/watch?v=m4eiYHL3PP8

Algebra 2 - How to find the discriminant of a quadratic and label the solutions, 4x^2 - x = -3

https://www.youtube.com/watch?v=UrThsuKKp9A

Algebra 2 - Evaluating functions for numeric values, p(x) = 2x^2 - 4x + 1. Find p(2) and p(-1)

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

Algebra 2 - Graphing a quadratic with translations y = (x-3)^2 - 1

https://www.youtube.com/watch?v=tukJh6ZXyN0

Function Plot

Plotting: $\frac{-6\left(x-1\right)^{4}-4\left(-6x+6\right)\left(x-1\right)^{3}}{\left(x-1\right)^{8}}$

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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
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

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Main Topic: Higher-order derivatives

The second, third, fourth derivative of a function (and so on) are known as higher order derivatives.

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