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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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e
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ln
log
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lim
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sin
cos
tan
cot
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asin
acos
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sinh
cosh
tanh
coth
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csch

asinh
acosh
atanh
acoth
asech
acsch

Final Answer

$16e^{8x}+4$
Got another answer? Verify it here!

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.

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

Unlock the first 2 steps of this solution!

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.

Final Answer

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

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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

Useful tips on how to improve your answer:

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

Used formulas:

3. See formulas

Time to solve it:

~ 0.1 s