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Step-by-step Solution

Find the derivative $\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$ using the sum rule

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e
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tan
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sinh
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asinh
acosh
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$16e^{8x}+4$
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Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$

Choose the solving method

1

Simplifying

$\frac{d}{dx}\left(2e^{8x}+4x\right)$

Learn how to solve sum rule of differentiation problems step by step online.

$\frac{d}{dx}\left(2e^{8x}+4x\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(e^(8x)+4x+e^(8x)) using the sum rule. Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function.

$16e^{8x}+4$
SnapXam A2

Go!
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
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

Tips on how to improve your answer:

$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$

Main topic:

Sum Rule of Differentiation

~ 0.13 s