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

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Solution

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Final answer to the problem

$\frac{\left(-x+1\right)e^{3x}-2\left(2e^x-xe^x\right)e^{2x}}{e^{4x}}$
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Step-by-step Solution

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  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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1

Find the ($1$) derivative

Learn how to solve higher-order derivatives problems step by step online.

$\frac{e^x-\left(x-1\right)e^x}{e^{2x}}$

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Unlock the first 3 steps of this solution

Learn how to solve higher-order derivatives problems step by step online. Find the higher order (2) derivative of (x-1)/(e^x). Find the (1) derivative. Simplifying. Find the (2) derivative. Simplifying.

Final answer to the problem

$\frac{\left(-x+1\right)e^{3x}-2\left(2e^x-xe^x\right)e^{2x}}{e^{4x}}$

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Function Plot

Plotting: $\frac{\left(-x+1\right)e^{3x}-2\left(2e^x-xe^x\right)e^{2x}}{e^{4x}}$

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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:

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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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