Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

\frac{d}{dx}\left(\ln\left(\sqrt{x e^{2x}}\right)\right)

Derive the function ln((xe^(2x))^0.5) with respect to x

Answer

$\frac{\frac{1}{2}e^x+e^x\cdot x}{e^x\cdot x}$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(\ln\left(\sqrt{x e^{2x}}\right)\right)$
1

The power of a product is equal to the product of it's factors raised to the same power

$\frac{d}{dx}\left(\ln\left(e^x\sqrt{x}\right)\right)$

Unlock this step-by-step solution!

Answer

$\frac{\frac{1}{2}e^x+e^x\cdot x}{e^x\cdot x}$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!

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

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 1.12 seconds