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Find the higher order ($3$) derivative of $\frac{2x-3}{x+2}$

Step-by-step Solution

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

Solution

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Final answer to the problem

$\frac{-14\left(x+2\right)^{4}-4\left(-14x-28\right)\left(x+2\right)^{3}}{\left(x+2\right)^{8}}$
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Learn how to solve higher-order derivatives problems step by step online. Find the higher order (3) derivative of (2x-3)/(x+2). Find the (1) derivative. Find the (2) derivative. Find the (3) derivative.

Final answer to the problem

$\frac{-14\left(x+2\right)^{4}-4\left(-14x-28\right)\left(x+2\right)^{3}}{\left(x+2\right)^{8}}$

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Function Plot

Plotting: $\frac{-14\left(x+2\right)^{4}-4\left(-14x-28\right)\left(x+2\right)^{3}}{\left(x+2\right)^{8}}$

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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

How to improve your answer:

Similar Problems Solved

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$\frac{d^{\left(4\right)}}{dx^{\left(4\right)}}\left(x^4\cdot\ln\left(x\right)\right)$

Find the derivative

$\frac{d^{\left(7\right)}}{dx^{\left(7\right)}}\left(x^6\cdot\ln\left(x\right)\right)$

Find the derivative

$\frac{d^2}{dx^2}\left(\cos^2\left(x\right)\right)$

Find the derivative

$\frac{d^2}{dx^2}\left(sen\left(x\right)\right)$

Find the derivative

$\frac{d^2}{dx^2}\left(x^3\right)$

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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