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

Step-by-step Solution

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Final Answer

$\frac{2\sqrt{5}}{5}$
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Step-by-step Solution

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$\frac{d}{dx}\left(\frac{2x}{\sqrt{5}}\right)$

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

$\frac{d}{dx}\left(\frac{2x}{\sqrt{5}}\right)$

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Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((2x)/(5^1/2)). Simplifying. Take \frac{2}{\sqrt{5}} out of the fraction. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.

Final Answer

$\frac{2\sqrt{5}}{5}$

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/(5^0.5) using the product ruleFind derivative of 2x/(5^0.5) using the quotient ruleFind derivative of 2x/(5^0.5) using logarithmic differentiationFind derivative of 2x/(5^0.5) using the definition

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Function Plot

Plotting: $\frac{2\sqrt{5}}{5}$

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1
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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: Quotient Rule of Differentiation

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

Used Formulas

2. See formulas

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