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# Find the derivative $\frac{d}{dx}\left(\frac{\sqrt{5-2}}{2x+1}\right)$

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##  Final answer to the problem

$\frac{-3.4641016}{\left(2x+1\right)^2}$
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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
Can't find a method? Tell us so we can add it.
1

Simplify the derivative by applying the properties of logarithms

$\frac{d}{dx}\left(\frac{\sqrt{3}}{2x+1}\right)$

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

$\frac{d}{dx}\left(\frac{\sqrt{3}}{2x+1}\right)$

Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx(((5-2)^1/2)/(2x+1)). Simplify the derivative by applying the properties of logarithms. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The derivative of the constant function (\sqrt{3}) is equal to zero. Any expression multiplied by 0 is equal to 0.

##  Final answer to the problem

$\frac{-3.4641016}{\left(2x+1\right)^2}$

##  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

SnapXam A2

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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

###  Main Topic: Quotient Rule of Differentiation

The quotient rule is a formal rule for differentiating problems where one function is divided by another.