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

## Step-by-step Solution

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### Videos

$16e^{8x}+4$
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## Step-by-step Solution

Problem to solve:

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

Specify 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)+4xe^(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.

$16e^{8x}+4$

### Explore different ways to solve this problem

Find the derivativeProduct ruleQuotient ruleLogarithmic differentiation
SnapXam A2

### beta Got another answer? Verify it!

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

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

### Main topic:

Sum Rule of Differentiation

~ 0.1 s