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# Find the derivative $\frac{d}{dx}\left(2x-4\ln\left(x+2\right)\right)$ using the sum rule

## Step-by-step Solution

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### Videos

$2+\frac{-4}{x+2}$
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## Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(2x-1\cdot 4\cdot \ln\left(x+2\right)\right)$

Specify the solving method

1

The derivative of a sum of two or more functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(2x\right)+\frac{d}{dx}\left(-4\ln\left(x+2\right)\right)$

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

$\frac{d}{dx}\left(2x\right)+\frac{d}{dx}\left(-4\ln\left(x+2\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(2x-4ln(x+2)) using the sum rule. 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 (-4) is equal to the constant times the derivative of the function. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.

$2+\frac{-4}{x+2}$

### Explore different ways to solve this problem

Find the derivativeProduct ruleQuotient ruleLogarithmic differentiation
SnapXam A2

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0
a
b
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m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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:

$\frac{d}{dx}\left(2x-1\cdot 4\cdot \ln\left(x+2\right)\right)$

### Main topic:

Sum Rule of Differentiation

~ 0.07 s