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

Derive the function ln(arccos(1/(x^0.5))) with respect to x

\frac{d}{dx}\left(\ln\left(arccos\left(\frac{1}{\sqrt{x}}\right)\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(arccos\left(\frac{1}{\sqrt{x}}\right)\right)\right)$

Show full step-by-step solution

Answer

$-\frac{1}{2}\left(\frac{-1}{\sqrt{x^{3}}\sqrt{1-\frac{1}{x}}arccos\left(\frac{1}{\sqrt{x}}\right)}\right)$

Struggling with math?

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

$\frac{d}{dx}\left(\ln\left(arccos\left(\frac{1}{\sqrt{x}}\right)\right)\right)$

Main topic:

Differential calculus

Used formulas:

2. See formulas

Time to solve it:

0.39 seconds