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

Step-by-step Solution

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Solution

Final answer to the problem

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

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Learn how to solve problems step by step online. Find the derivative of xe^(2x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=e^{2x}. The derivative of the linear function is equal to 1. Applying the derivative of the exponential function. The derivative of the linear function times a constant, is equal to the constant.

Final answer to the problem

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

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Function Plot

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

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1
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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
D□x
∫
∫◻
|◻|
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

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