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Find the derivative of $2x^{2x}$

Step-by-step Solution

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Final Answer

$2\cdot 2\left(\ln\left(x\right)+1\right)x^{2x}$
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Step-by-step Solution

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1

The derivative of a function multiplied by a constant ($2$) is equal to the constant times the derivative of the function

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

The derivative $\frac{d}{dx}\left(x^{2x}\right)$ results in $2\left(\ln\left(x\right)+1\right)x^{2x}$

$2\cdot 2\left(\ln\left(x\right)+1\right)x^{2x}$

Final Answer

$2\cdot 2\left(\ln\left(x\right)+1\right)x^{2x}$

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^2x using the product ruleFind derivative of 2x^2x using the quotient ruleFind derivative of 2x^2x using logarithmic differentiationFind derivative of 2x^2x using the definition

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Function Plot

Plotting: $2\cdot 2\left(\ln\left(x\right)+1\right)x^{2x}$

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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: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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