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Find the derivative $\frac{d}{dx}\left(2x+1\cdot -4\ln\left(x+2\right)\right)$ using the sum rule

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 Final answer to the problem

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

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Simplifying

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

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

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

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(2x+1*-4ln(x+2)) 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 the linear function is equal to 1.

 Final answer to the problem

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

 Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of (2x+1-4) using the product ruleFind derivative of (2x+1-4) using the quotient ruleFind derivative of (2x+1-4) using logarithmic differentiation

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5
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7
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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

 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.