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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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Final answer to the problem

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

How should I solve this problem?

  • Choose an option
  • 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
  • Load more...
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1

Simplify the derivative by applying the properties of logarithms

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

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

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

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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. Simplify the derivative by applying the properties of logarithms. 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 the linear function is equal to 1.

Final answer to the problem

$16e^{8x}+4$

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Function Plot

Plotting: $16e^{8x}+4$

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Answer Assistant

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Got a different 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

How to improve your answer:

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

Used Formulas

See formulas (3)

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